Question

Find the volume of a right circular cone that has a height of 17.7 cm and a base with a diameter of 15.8 cm. Round your answer to the nearest tenth of a cubic centimeter.

Answer 1

1157.3cm^3

Explanation:

voume of a cone =V=πr^2h^3

Diameter = 15.8cm

Height = 17.7cm

Radius = diameter/2

= 15.8/2 = 7.9cm

Pi = 22/7

V = 22/7 ×7.9×7.9×17.7/3

= 22/7×62.41×5.9

V = 1157.25cm^3

Hence the volume of the cone is 1157.3cm^3

to the nearest 10th

Answer 2

`1156.8cm^3`

Explanation:

The volume of a cone is given as:

`V =(1)/(3) \pi r^2h`

where r = radius

h = height of cone

The height of the cone is 17.7 cm and its base radius is 7.9 cm (diameter is 15.8 cm).

Its volume is:

`V = (1)/(3) * \pi = 7.9^2 * 17.7\\ \\V = 1156.8cm^3`