A cone has height 6 and radius 3. Using pi = 3.14, what is its volume (approximately)?

Prepare for the Officer Training School (OTS) Talon Test. Study with detailed questions and explanations. Boost your confidence and ace your exam!

Multiple Choice

A cone has height 6 and radius 3. Using pi = 3.14, what is its volume (approximately)?

Explanation:
Volume of a cone is one-third of the base area times the height. The base area is π r^2, so V = (1/3) π r^2 h. With radius 3 and height 6, r^2 = 9, so base area = 3.14 × 9 = 28.26. Multiply by the height: 28.26 × 6 = 169.56. Divide by 3: 169.56 ÷ 3 = 56.52. The approximate volume is 56.52 cubic units.

Volume of a cone is one-third of the base area times the height. The base area is π r^2, so V = (1/3) π r^2 h. With radius 3 and height 6, r^2 = 9, so base area = 3.14 × 9 = 28.26. Multiply by the height: 28.26 × 6 = 169.56. Divide by 3: 169.56 ÷ 3 = 56.52. The approximate volume is 56.52 cubic units.

Subscribe

Get the latest from Passetra

You can unsubscribe at any time. Read our privacy policy