## Question

###### A conical tank, vertex down, has a depth of 8 feet and a radiusof 4 feet. From the vertex at the bottom, the liquid is leaking outso the height of the liquid is falling at the rate of 0.75 feet perhour. What is the rate, in cubic feet per hour, at which the wateris leaving the reservoir when the water is 6 ft deep? The volume ofa cone is given by the formula V = 1/3 pi r^2 h.

A conical tank, vertex down, has a depth of 8 feet and a radius of 4 feet. From the vertex at the bottom, the liquid is leaking out so the height of the liquid is falling at the rate of 0.75 feet per hour. What is the rate, in cubic feet per hour, at which the water is leaving the reservoir when the water is 6 ft deep? The volume of a cone is given by the formula V = 1/3 pi r^2 h.

## Answers

#### Similar Solved Questions

5 answers

##### An electron acceleraled from rest through voltage 790 enters egion = constant magnetic field;Part AIf the electron lollows arcular paln with radrus 0l 25 cm what is the magnilude of Ihe magnetic field?Express your answer using two signiticant figures:AzdB = 0.3793SubmitPrevlous Anawers Dequest AnswerInconect; Try Aqeln; = atemple remalnln

An electron acceleraled from rest through voltage 790 enters egion = constant magnetic field; Part A If the electron lollows arcular paln with radrus 0l 25 cm what is the magnilude of Ihe magnetic field? Express your answer using two signiticant figures: Azd B = 0.3793 Submit Prevlous Anawers Deques...

5 answers

##### Colodity Hats demand function moxlelerl by 0.21 Ad total cost unctin modeled b ci) 302 40 . #here is the number of units_What price Yields maximum profit? When the profit is maximizecl, what is the average Costunit?

colodity Hats demand function moxlelerl by 0.21 Ad total cost unctin modeled b ci) 302 40 . #here is the number of units_ What price Yields maximum profit? When the profit is maximizecl, what is the average Cost unit?...

5 answers

##### 2. Use Laplace transform to solve the differential equation below:T8 -Ssln %

2. Use Laplace transform to solve the differential equation below: T8 -Ssln %...

5 answers

##### Explain what physical changes amc oneenied ifa colored hydrated salt (CuSO *5HO) is heated tcmperatures above 200 degrees? What happens its anhydrous salt when exposed wuler vapor overnight? Xf huduated sal ((us04 0zo) Atic #cmaetature 0 DOvc ACU"C Inc Wited Moi (cuies Pculof in L0jo4' SaLo Ine salf Iclue Coior Wnitt (oior cCraoved colour 0} nydroted crarges (rarn Cusoy Hao Jpaam ( Us 0 4 3H1 0 It oANy drous Jalt 94in} Wj Gt Fahio peseate & f Watcc VaPour Aad Mon J010 Mo ilcu|C

Explain what physical changes amc oneenied ifa colored hydrated salt (CuSO *5HO) is heated tcmperatures above 200 degrees? What happens its anhydrous salt when exposed wuler vapor overnight? Xf huduated sal ((us04 0zo) Atic #cmaetature 0 DOvc ACU"C Inc Wited Moi (cuies Pculof in L0jo4' SaL...

5 answers

##### Question 8pointA projector; laying on the ground illuminates the wall of building standing 10 m away: person 1.4 mtall walks from the projector the wall We vould like determine the rate at which the person $ shadow decreases the moment the person is from the wall given that;, that moment, the person walking toward the wall at 0.8 mVs.To solve this problem; let z be the distance meters between the walker and the wall; the height of their shadow in meters, and the time in seconds(a) Sketch diagram

Question 8 point A projector; laying on the ground illuminates the wall of building standing 10 m away: person 1.4 mtall walks from the projector the wall We vould like determine the rate at which the person $ shadow decreases the moment the person is from the wall given that;, that moment, the pers...

5 answers

##### Find parametric equations for the line through the point (4, -1, 3) and perpendicular to and intersecting with the line given by: x=t y=2t + 2 2 =5t -1.

Find parametric equations for the line through the point (4, -1, 3) and perpendicular to and intersecting with the line given by: x=t y=2t + 2 2 =5t -1....

5 answers

##### 3ECatchce4rr palaqenconatq 1Fttt #AB ianiered tipkt Axation md unit Iartr noraton nter A ( - 4and B (@ 4[ pKu]

3ECatchce4rr palaqenconatq 1Fttt #AB ianiered tipkt Axation md unit Iartr noraton nter A ( - 4and B (@ 4[ pKu]...

1 answers

##### An experimenter conducts lactation studies with ewes_ In one of his experiments, nine ewes were divided into groups of three_ In group 1, the ewes and their lambs were fed freely during the lactation period; in the other groups, two different methods of restricting the food intake were used. He records the yields of residual milk in grams for each ewe during the fourth through tenth weeks of lactation: Group Ewe # Week4 Week5 Week6 Week7 Week8 Week9 Week10 184 190 240 270 280 280 280 260 284 220

An experimenter conducts lactation studies with ewes_ In one of his experiments, nine ewes were divided into groups of three_ In group 1, the ewes and their lambs were fed freely during the lactation period; in the other groups, two different methods of restricting the food intake were used. He reco...

5 answers

##### (1 point) Evaluate the integral:L" fI 72+4)7 dydedz =

(1 point) Evaluate the integral: L" fI 72+4)7 dydedz =...

5 answers

##### @w2 35 83 Jl 1 H 1 g [ 3 [ J 1 7 1 3 3 J JE 6 3 8 J 3 1 5 2 L HH 2 [ 3 1 { 82 1 H X g U# 2 1 3 1 38 8 2 1 7 1 D 1 3 23 2 3 1 Ji V E 3 3 1 3 i 7 ! 6 1 0 Y

@w2 35 83 Jl 1 H 1 g [ 3 [ J 1 7 1 3 3 J JE 6 3 8 J 3 1 5 2 L HH 2 [ 3 1 { 82 1 H X g U# 2 1 3 1 38 8 2 1 7 1 D 1 3 23 2 3 1 Ji V E 3 3 1 3 i 7 ! 6 1 0 Y...

5 answers

##### (from 10.2) Consider Ine following set of data5.24 9.21 10.33 14.14 17.61 21,43 23.12 13.28 21.6 25.5 32.21 49.25 52.18Find the equation of Ihe regression Iine. What Is (he regresslon constani I(a )? Give your answer t0 decimal places

(from 10.2) Consider Ine following set of data 5.24 9.21 10.33 14.14 17.61 21,43 23.12 13.28 21.6 25.5 32.21 49.25 52.18 Find the equation of Ihe regression Iine. What Is (he regresslon constani I(a )? Give your answer t0 decimal places...

5 answers

##### From the information given find the quadrant in Ihich the terminal point determined by t lies.sint < 0 and cost > 0

From the information given find the quadrant in Ihich the terminal point determined by t lies. sint < 0 and cost > 0...

5 answers

##### Use the definition of a derivative, f'(r) = lim I(rth)-Ilr) _ 430 to find the derivatives of the follow- ing functionsf(r) =213 4r? + T(iip f (z) = 8r + 1

Use the definition of a derivative, f'(r) = lim I(rth)-Ilr) _ 430 to find the derivatives of the follow- ing functions f(r) =213 4r? + T (iip f (z) = 8r + 1...

5 answers

##### The backoff torque required to remove bolts in a steel plate is rated as high; moderate; o low: Historically; the probability of a high; moderate, or low rating is 0.68. 0.23, or 0.09. respectively: A sample of 21 bolts are selected for testing: Let-I Y and Z denote the number of bolts that are independently rated as high; moderate; and low; respectively: Determine the following probabilities(a) P(I = 16,Y=3,2 =2) (b) P(I = 12 | Y= 5)

The backoff torque required to remove bolts in a steel plate is rated as high; moderate; o low: Historically; the probability of a high; moderate, or low rating is 0.68. 0.23, or 0.09. respectively: A sample of 21 bolts are selected for testing: Let-I Y and Z denote the number of bolts that are inde...

5 answers

##### Let $A=3 x^{2}+4 x-5$ and $B=x^{2}-4 x-1 .$ Find the minimum value of $A-B$

Let $A=3 x^{2}+4 x-5$ and $B=x^{2}-4 x-1 .$ Find the minimum value of $A-B$...

5 answers

##### [6 points] Find the interval - ofconvergence ofthe power series 2e4 Ifyou wish to usc a formula for R; the radius of convergence; YOu must first prove that formula You do not need to test for vergence at the endpoints. con-

[6 points] Find the interval - ofconvergence ofthe power series 2e4 Ifyou wish to usc a formula for R; the radius of convergence; YOu must first prove that formula You do not need to test for vergence at the endpoints. con-...

1 answers

##### 9–32 Find the exact value of the trigonometric function. $$\cos \left(-60^{\circ}\right)$$

9–32 Find the exact value of the trigonometric function. $$\cos \left(-60^{\circ}\right)$$...

5 answers

##### The revenue decreases by about this amount when the number of units increased from 100 to 101.The actual revenuethe IOOth unit this amount100 units produce this amount of revenue(b) Find the marginal revenue function_(c) Find the margina reyenue (in dollars per unit) at * = 100_ per unitTell what predicts about the sale of the next unit and the next units:The sale of the next unit willSeecl-the revenue by aboutThe sale of the next units will Select-the revenue by about(d) Find R(101) R(1OO):Expl

The revenue decreases by about this amount when the number of units increased from 100 to 101. The actual revenue the IOOth unit this amount 100 units produce this amount of revenue (b) Find the marginal revenue function_ (c) Find the margina reyenue (in dollars per unit) at * = 100_ per unit Tell w...

5 answers

##### A galvanic cell Pt|Cu+ (0,01 mol Lâ€“1) ||I2 (0,01 mol Lâ€“1), Iâ€“ (0,01 molLâ€“1) |Pt has been built. When the electrodes areconnected, a blue color starts to appear on the Cu(I) compartment,and in the other compartment the iodine starts to be consumed.Considering the half reactions bellow, explain theseobservations.Cu2+ + 1eâ€“ â‡„ C+, Eo= 0,153 VI2 + 2eâ€“ â‡„ 2Iâ€“, Eo =0,534 V

A galvanic cell Pt|Cu+ (0,01 mol Lâ€“1) || I2 (0,01 mol Lâ€“1), Iâ€“ (0,01 mol Lâ€“1) |Pt has been built. When the electrodes are connected, a blue color starts to appear on the Cu(I) compartment, and in the other compartment the iodine starts to be consumed. Considering the half...

5 answers

##### -8 point) Find the eigenvalues and eigenvectors of the matrix A = 10 1011and12V2

-8 point) Find the eigenvalues and eigenvectors of the matrix A = 10 10 11 and 12 V2...