Question

Consider this composite figure made of a cone and a cylinder. A cone has a height of 8 centimeters and radius of 3 centimeters. A cylinder has a height of 7 centimeters and radius of 3 centimeters. What is the volume of the cone?

Answer 1

The answer is C)63Picm3.

Step-by-step explanation: Just did it so I know. Have a great night everybody!

Answer 2

The volume of cone is 75.4 cubic centimeters and the volume of cylinder is 197.92 cubic centimeters. The volume of composite figure is 273.32 cubic centimeters.

Explanation:

The given is,

Composite figure made of a cone and a cylinder.

A cone has a height of 8 centimeters and radius of 3 centimeters.

A cylinder has a height of 7 centimeters and radius of 3 centimeters.

Step:1

Volume of composite figure = Volume of Cone +

Volume of cylinder............(1)

Step:2

Formula for volume of cone,

`Volume of cone, V_(cone) = \pi r^(2) (h)/(3)`....................(2)

Where, r - Radius of cone

h - Height of cone

From the given,

r = 3 centimeters

h = 8 centimeters

Equation (2) becomes,

`= \pi (3^(2) )((8)/(3))`

`=\pi (9)(2.667)`

= (3.14 × 9 × 2.667) (∵
`\pi` = 3.1415)

= 75.4

`Volume of cone, V_(cone)` = 75.4 cubic centimeters

Step:3

Formula for volume of cylinder,

`Volume of cone, V_(cone) = \pi r^(2) h`....................(2)

Where, r - Radius of cylinder

h - Height of cylinder

From the given,

r = 3 centimeters

h = 7 centimeters

Equation (2) becomes,

`= \pi (3^(2) )(7)`

`=\pi (9)(7)`

= (3.14 × 9 × 7) (∵
`\pi` = 3.1415)

= 197.92

`Volume of cylinder, V_(cylinder)` = 197.92 cubic centimeters

Step:4

Equation (1) becomes,

Volume of composite figure = 75.4 + 197.92

= 273.32 cubic centimeters

Result:

The volume of cone is 75.4 cubic centimeters and the volume of cylinder is 197.92 cubic centimeters. The volume of composite figure is 273.32 cubic centimeters.