Question

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

Answer 1

Answer:

$V=796.92\ m^3$

Step-by-step 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, $l=\sqrt{r^2+h^2}$

$V=\pi r \sqrt{r^2+h^2}\\\\V=3.14\times 12.5\times \sqrt{(12.5)^2+16^2} \\\\V=796.92\ m^3$

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