Question

A cylinder with 1/4 of a section removed has a radius of 4 cm for the base and a height of 10 cm.

Determine the approximate volume of the solid. Use 3.14 for pi. cm3

Answer 1

Volume of the solid is 377 cm³.

Explanation:

Volume of the cylinder =
`\pi r^(2)h`

Here, r = radius of the cylinder

h = Height of the cylinder

By substituting the values in the formula, (r = 4 cm and h = 10 cm)

Volume of the cylinder =
`\pi (4)^2(10)`

= 160π

Since one fourth of the cylinder is removed,

Volume of the remaining cylinder = 160π -
`(160\pi )/(4)`

= 160π - 40π

= 120π

= 120(3.14)

= 376.8 cm³

≈ 377 cm³

Volume of the solid is 377 cm³.