Question

Use 3.14 for pi.

Round to the nearest whole number.

The volume of this solid figure is

Answer 1

`v = 183 {cm}^(3) to \: the \: nearest \: whole \: number`

Explanation:

Volume of a cone is given as:

`v = (1)/(3) *\pi * \ {r}^(2) * h`

where,

pi = 3.14

r = radius = half of diameter; 10cm/2 = 5cm

h = height = 3cm + 4cm = 7cm

Thus,

`v = (1)/(3) * 3.14cm * {5}^(2) cm * 7cm`

`v = (1)/(3) * 3.14cm * 25cm * 7cm`

`v = (1)/(3) * 549.50 {cm}^(3)`

`v = \frac{549.50 {cm}^(3) }{3}`

`v = 183.17 {cm}^(3)`

`v = 183 {cm}^(3) to \: nearest \: whole \: number`