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What is the volume of the cone with radius 6 in. and height 10 in.? Express the answer in terms of π.




126π in3



60π in3



98π in3



120π in3

What is the volume of the cone with radius 6 in and height 10 in Express the answer in terms of π 126π in3 60π

Answer :

Final answer:

The volume of the cone with a radius of 6 inches and height of 10 inches is 120π in.³.

Explanation:

The volume of a cone is given by the formula V = (1/3) πr²h, where r is the radius of the base of the cone, h is the height of the cone, and π (pi) is a mathematical constant approximately equal to 3.14159.

In this case, the radius (r) of the cone is 6 inches and the height (h) is 10 inches. Using the formula:

  • V = (1/3) π × (6 in.)² × 10 in.
  • V = (1/3) π × 36 in.² × 10 in.
  • V = (1/3) × 360 π in.³
  • V = 120π in.³

Therefore, the volume of the cone is 120π in.³.

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Rewritten by : Barada

Final answer:

The volume of the cone with a radius of 6 inches and a height of 10 inches is 120π in³, calculated using the formula for the volume of a cone.

Explanation:

The volume of a cone can be calculated using the formula V = ⅓πr²h, where V is the volume, r is the radius, and h is the height of the cone. In the given problem, the radius (r) is 6 inches and the height (h) is 10 inches.

  • First, calculate the area of the base using the formula for the area of a circle, A = πr². So, A = π × 6² = 36π in².
  • Next, use the volume formula for a cone. V = ⅓π × 36 in² × 10 in = ⅓ × 360π in³ = 120π in³.

So, the volume of the cone is 120π in³.