George bought a cylindrical tank for his garden but he forgot to ask the seller what the diameter of the tank was. He needs to know the diameter of the tank so that he can build a platform for it to sit in. The seller told him the volume and the height, calculate the diameter of the tank using the information below “ the volume of the tank is 300 π ft^2 and its height is 10ft

Step-by-step explanation:

Given

Required

The diameter

The volume of a cylinder is:

So, we have:

Divide both sides by the common factors

Take square roots of both sides

The diameter is:

So:

or

were is the equation

34.5 cm

step-by-step explanation:

generally for a circular segment of angle, θ° and radius r

arc length

= (θ/360) x circumference

= (θ/360) x 2πr

in our case, θ = 60°, π=3.142 and r = 33 cm

substitute into above formula

arc length

= (60/360) x 2(3.142)( 33) = 34.5 cm