Question

Find the volume of a right circular cone that has a height of 19 ft and a base with diameter of 18.7 round your answer to the nearest tenth of a cubic foot

Answer 1

1,793.7 ft³

Explanation:

Volume, V = (1/3) πr²h where,

V = volume of cone

r = radius = (1/2) diameter = 18.7/2 = 9.35 ft

h = height of cone = given as 19 ft

π = 3.142

Substituting the above values into the equation:

V = (1/3) πr²h

= (1/3) (3.142) (9.35)²(19)

= 1,739.6595 ft³ (this is not rounded to the nearest tenth)

= 1,793.7 ft³ (this is rounded to the nearest tenth)

Hope this helps : )

Answer 2

1739.4 cubic feet

Explanation:

Remember that the formula for volume of a cone is V=1/3 πr^2 h, where r=radius and h=height.

First solve for radius: r = d/2, 18.7/2 = 9.35. Plug in:

V = 1/3 π r^2 h

= 1/3 π 9.35^2 * 19

= 553.675π

You can either use 3.14 for pi, or plug it into your calculator.

= 1739.4 cubic feet