Question

Find the volume of this shape and then add

Answer 1

2345.72 m³

Explanation:

To find the volume of the shape, first find the volume of cylinder and then the volume of the cone. Then, add them.

Volume of the cylinder:

h = height of the cylinder = 10 m

d = 16 m

r = 16 ÷ 2 = 8 m

`\boxed{\text{\bf Volume of cylinder = $ \bf \pi r^2h$}}`

= 3.14 * 8 * 8 * 10

= 2010.62 m³

Volume of cone:

H = height of cone = 5 m

r = 8 m

`\boxed{\text{\bf Volume of cone = $\bf (1)/(3)*\pi r^2*H$}}`

`\sf =(1)/(3)*3.14*8*8*5\\\\ = 335.1 \ m^3`

Volume of the shape = 2010.62 + 335.1

= 2345.72 m³