Question

URGENT

Find the missing dimension of the cylinder. Round your answer to the nearest whole number.
Volume = 10,000 in.

Answer 1

h=39

Explanation

V =
`\pi`r^(2) h

V = 10,000
`\pi`

radius = diameter / 2

diameter = 32

radius = 32/2

radius = 16

10,000
`\pi`=
`\pi`(16)^(2)(h)

Simplify by dividing
`\pi` from both sides and evaluating 16^2

10,000=256h

Simplify again by dividing 256 from both sides to isolate h.

39.06 = h

Round to the nearest whole number:

39 inches.