Verified Answer :

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^2h

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

Solving above equation we get Volume as 922.99392 cubic meter

mhanifa

836 m³

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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.

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