234k views
19 votes
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.

1 Answer

5 votes

Answer:

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

User Salomvary
by
8.8k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories