Question

the volume of a cylinder varies jointly with the square of its radius and with its height: V= kr^2h Cylinder A has a volume of 197.82 cubic inches and has a radius of 3 inches and a height of 7 inches. what is the volume of cylinder B, which has a radius of 4 inches and a height of 9 inches

Answer 1

• 452.16 in³

Explanation:

Given equation:

• V = kr²h

Cylinder A has:

• V = 197.82 in³
• r = 3 in
• h = 7 in

Using the given values find k:

• 197.82 = k*3²*7
• k = 197.82/63
• k = 3.14

The equation now is:

• V = 3.14r²h

Find the volume of cylinder B:

• V = 3.14*4²*9 = 452.16 in³