Question

Find the surface area of a conical grain storage tank that has a height of 41 meters and a diameter of 16 meters. Round the answer to the nearest square meter.

Answer 1

The surface area of a conical grain storage tank that has a height of 41 meters and a diameter of 16 meters is
`1250.9 m^2`

Step-by-step explanation:

Height of the conical grain storage tanks =41 m

Diameter of the conical grain storage tank=16 m

Hence radius = diameter/2=8 m

Suppose h is height and r is radius

Formula used:

Surface area of a cone= A

A=
`\pi rl +\pi r^2`

= πr(l+r)

Where
`l =(r^2+h^2)^1^/^2`

=
`\pi r(r+(h^2+r^2)^1^/^2)`

Putting the values

=
`3.14 * 8\left(8+\left(41^(2)+8^(2)\right)^(1 / 2)\right)`

=1250.9368

=
`1250.9 m^2`

`1250.9 m^2` is the surface area of a conical grain storage tank