Question

What is the volume of a cone with a height of 27 inches and a radius of 11 inches?

Please help! I would like to complete this assignment as soon as possible! 50 pts!​

Answer 1

3421.2 in³ (nearest tenth)

Explanation:

Volume of a cone

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

where:

• r is the radius
• h is the height

Given:

• r = 11 in
• h = 27 in

Substitute the given values into the formula and solve for V:

`\implies \sf V=(1)/(3) \pi (11)^2(27)`

`\implies \sf V=(1)/(3) \pi (121)(27)`

`\implies \sf V=(3267)/(3) \pi`

`\implies \sf V=1089 \pi`

`\implies \sf V=3421.2\:\:in^3\:\:(nearest\:tenth)`

Answer 2

• 3419.46 in³

Explanation:

Use the volume formula

• V = (1/3)πr²h

Given

• r = 11 in
• h = 27 in
• π = 3.14 (rounded)

Substitute and calculate

• V = (1/3)(3.14)(11²)(27) = 3419.46 in³