Question

Find the volume of the cone. Round your answer to the nearest whole number

Volume = ________ m^3

Answer 1

Final answer:

Rounding to nearest integer value we get Volume as 923 cubic meter

Explanation:

given that height(h)=17m

radius(r)=7.2

Volume is given as 1/3*$\pi$*r^2*h

Thus Volume =1/3*$\pi$*(7.2)^2*(17)

Solving above equation we get Volume as 922.99392 cubic meter

Answer 2

836 m³

=====================

Calculate the height using the Pythagorean theorem.

Given:

• radius (r) = 7.2 m,
• slant height (L) = 17 m

Formula:

• L² = r² + h²

Solving for height (h):

• 17² = 7.2² + h²
• 289 = 51.84 + h²
• h² = 289 - 51.84
• h² = 237.16
• h = √237.16 = 15.4 m

The volume of the cone formula:

• V = (1/3)πr²h

Substituting the values:

• V = (1/3)π(7.2)²(15.4) ≈ 836 m³

Rounding to the nearest whole number, the volume of the cone is approximately 836 cubic meters.