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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!​

User Kammy
by
2.3k points

2 Answers

17 votes
17 votes

Answer:

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)

User Abhishek Thakur
by
3.3k points
12 votes
12 votes

Answer:

  • 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
User Sachin Vas
by
3.0k points