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Question 22 (4 points)Enter a number rounded to two decimalsThe surface area of a sphere with = diameter of 21.6 cm iscm"_The surface arca of a hemisphere with...

Question

Question 22 (4 points)Enter a number rounded to two decimalsThe surface area of a sphere with = diameter of 21.6 cm iscm"_The surface arca of a hemisphere with the same diameter is

Question 22 (4 points) Enter a number rounded to two decimals The surface area of a sphere with = diameter of 21.6 cm is cm"_ The surface arca of a hemisphere with the same diameter is



Answers

Find each measurement. Give your answer in terms of $\pi$. circumference of a great circle of a sphere whose surface area is $4 \pi \mathrm{cm}^{2}$

Okay. Area for pi r squared equals pi R squared is 1/4 therefore are is 1/2 diameter is two are two times 1/2 is one centimeter.

So in this question, we have to find the selfish area off hemisphere with the circumference off a great circle. Eight by centimeter. Right. So we know the surface. The formula for calculating the surface as the offer. Hemisphere like that is days It was 23 pi r square where? Artist the ladies off this fair, the given its circumstance off the great circle associate by centimeter. Therefore, two pioneers equals two eight by centimeters. Hence all this request of four centimeters. Now we can subsidy with the value of our So these requested three by for this credit. When he simplified, you'll get the value of the years 1 50 point sent. Seven is square centimeter. So this is the early off, uh, selfish idea off hemisphere.

Hello, Divine. Today you're going to see your brother Number five from the surface? A. That's a sphere here. The given is so conference. So go friends in close A by sending with that So the conference is given by to buy. Uh, that is a guy goes to buy, Uh, because for Cindy Minda the given they got him in the box office A day off is given by half in do for by ah square bless by ah square So half indo for by in the full square plus by in tow Full square So suffer Sadio Hemisphere which comes to be around by 50 point 79 Where Sending me, Doug, that's enough ocracy. Thank you.

The volume of a hemisphere is half of the volume of the entire sphere. We can find the volume of the hemisphere that has a diameter of 21.8 centimeters by using the volume of the entire sphere and then dividing it by two. The diameter is 21.8. We need the radius. We know that the diameter is equal to twice the radius, so 21.8 is equal to two are divide both sides by two and we have a radius of 10.9 centimeters. Let's substitute our into our volume formula, and we have a volume of the entire sphere equal to 4/3 times pi times are radius of 10.9. Cute, but remember, we want the hemisphere. So we're going to take this volume and divide it by two. Let's use a calculator to approximate the volume to the nearest 10th. 4/3 pi times are radius of 10.9 cubed, and then we want to divide that in volume by two to get the volume of the hemisphere. So the volume of the hemisphere is approximately 2712.3 cubic centimeters.


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