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Xelga [282]
3 years ago
12

A sphere with a radius of 10 centimeters is inscribed in a right cylinder. What is the volume of the right cylinder in terms of

?
A) 200pi cm^3
B) 500pi cm^3
C) 1,000pi cm^3
D) 2,000pi cm^3

Mathematics
2 answers:
ruslelena [56]3 years ago
5 0
Well, that means that the sides and top are toutching the sphere

radius of sphere=10 so radius of cylinder=10
the height is the diameter or 20

V=hpir^2
v=20pi10^2
v=20pi100
v=2000pi

answer is D
Bogdan [553]3 years ago
5 0

Answer:

Option D is correct.

Step-by-step explanation:

Given Radius of Sphere, r =  cm and sphere is inscribed in cylinder.

We have to find volume of cylinder.

For given condition Pic is attached.

From pic,

radius of cylinder is same as of sphere that is r = 10 cm

height of the cylinder, h = diameter of sphere = 2 × 10 = 20 cm

Volume of cylinder = πr²h

Volume = π × 10² × 20  = 100 × 20 × π = 2000π cm³

Therefore, Option D is correct.

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lianna [129]

Answer:

The number of friends that went out for dinner is 8

And their bill is $238

Step-by-step explanation:

Let's assume that the number of friends that went out for dinner to be x

And the bill for the dinner to be y

If each person contributed $32 and paid off the bill,they will have a balance of $18

32x - 18 = y_____equation 1

If each person contributed $35 and paid off the bill and also 15% tip,they will have a balance of $6.30

35x - 6.3 = y + (15% of y)

35x - 6.3 = y + (3y/20)

Open up the bracket

35x - 6.3 =(20y + 3y)/20

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From equation 1,y = 32x - 18

Put the above in equation 2 and we have

700x - 126 = 23(32x -18)

700x - 126 = 736x - 414

collect like terms

36x = 288

x = 288/36

x = 8

Remember that equation 1 says that y = 32x - 18 and we now know that x = 8 .

Substitute and we have

(32 × 8) - 18

y = 238

The number of friends that went out for dinner is 8

And their bill is $238

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