Question

Find the volume of a right circular cone that has a height of 14.3 ft and a base with a diameter of 17.2 ft. Round your answer to the nearest tenth of a cubic foot.

Answer 1

the real answer is 1107.5 ft

3

Explanation:

Volume of Cone:

V=\frac{1}{3}\pi r^2h

V=

3

1

​

πr

2

h

\text{Find radius:}

Find radius:

r=\frac{\text{diameter}}{2}=\frac{17.2}{2}=8.6

r=

2

diameter

​

=

2

17.2

​

=8.6

h=14.3\hspace{40px}r=8.6

h=14.3r=8.6

Needed information

V=

V=

\,\,\frac{1}{3}\pi r^2h

3

1

​

πr

2

h

V=

V=

\,\,\frac{1}{3}\pi (8.6)^2(14.3)

3

1

​

π(8.6)

2

(14.3)

Plug in

V=

V=

\,\,1107.54545168

1107.54545168

Evaluate in calculator

V\approx

V≈

\,\,1107.5\text{ ft}^3

1107.5 ft

3