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 254.34 cubic inches and has a radius of 3 inches and a height of 9 inches. what is the volume of cylinder b, which has a radius of 4 inches and a height of 5 inches?

Volume of the cylinder B is 251.2 inches³ .

Step-by-step explanation:

As given

The volume of a cylinder varies jointly with the square of its radius and with its height .

V = kr²h

As given

Cylinder A has a volume of 254.34 cubic inches and has a radius of 3 inches and a height of 9 inches.

V = 254.34 cubic inches

r = 3 inches

h = 9 inches

Put all the values in the above formula

254.34 = k × 3 × 3 × 9

254.34 = 81k

k = 3.14

As given

Cylinder B, which has a radius of 4 inches and a height of 5 inches .

r = 4 inches

h = 5 inches

k = 3.14

Put all the values in the formula

V = 3.14 × 4 × 4 × 5

V = 251.2 inches³

Therefore the volume of the cylinder B is 251.2 inches³ .