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If two cylinders have the same base, and one cylinder has a height of 4 inches and a volume of 120 cubic inches, and the second cyclinder has 7 inches what's the volume of the second cylinder

User Richard Morgan
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1 Answer

17 votes
17 votes

Answer:

210 cubic inches

Explanation:

The volume V of a cylinder is given as

V = πr^2h where r is the base radius and h is the height

If two cylinders have the same base, then their radii are the same

Given that one cylinder has a height of 4 inches and a volume of 120 cubic inches then

120 = πr^2 * 4

Divide both sides by 4

30 = πr^2

Given that the second cylinder has a height of 7 inches then the volume

V = πr^2 * 7

Recall that 30 = πr^2

V = 30* 7

= 210 cubic inches

User Dentemm
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