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An artist is creating a large conical sculpture for a park the cone has a height of 16 meters and a diameter of 25 meters find the volume of the sculpture to the nearest cubic meter use 3.14 for pie

User Mindparse
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1 Answer

5 votes

Answer:


V=796.92\ m^3

Explanation:

Given that,

Height of the cone , h = 16 m

The diameter of the cone, d = 25 m

Radius of the cone, r = 12.5 cm

We need to find the volume of the conical shaped sculpture. The volume of a cone is given by :


V=\pi rl

l is the slant height of the cone,
l=√(r^2+h^2)


V=\pi r √(r^2+h^2)\\\\V=3.14* 12.5* √((12.5)^2+16^2) \\\\V=796.92\ m^3

So, the volume of the sculpture is
796.92\ m^3.

User Rleir
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4.3k points