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.

Step-by-step 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,

$Volume of cone, V_{cone} = \pi r^{2} \frac{h}{3}$ ....................(2)

Where, r - Radius of cone

h - Height of cone

From the given,

r = 3 centimeters

h = 8 centimeters

Equation (2) becomes,

$= \pi (3^{2} )(\frac{8}{3})$

$=\pi (9)(2.667)$

= (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.

3 0

3 years ago

X+x+4=240 cual es el resultado correcto

monitta

Answer:

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

118

7 0

3 years ago