thunderbolt07
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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!​

Respuesta :

mhanifa

Answer:

  • 3419.46 in³

Step-by-step 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
semsee45

Answer:

3421.2 in³  (nearest tenth)

Step-by-step explanation:

Volume of a cone

[tex]\sf V= \dfrac{1}{3} \pi r^2 h[/tex]

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:

[tex]\implies \sf V=\dfrac{1}{3} \pi (11)^2(27)[/tex]

[tex]\implies \sf V=\dfrac{1}{3} \pi (121)(27)[/tex]

[tex]\implies \sf V=\dfrac{3267}{3} \pi[/tex]

[tex]\implies \sf V=1089 \pi[/tex]

[tex]\implies \sf V=3421.2\:\:in^3\:\:(nearest\:tenth)[/tex]