Question

An engineer at a grain elevator is constructing a cone shaped storage unit that has a base radius of 10 m and is to hold 3800 cubic metre

of grain. The height of the storage unit, to the nearest whole number, is _____ metres.

Answer 1

To find the height of the cone-shaped storage unit, we can use the formula for the volume of a cone. Given the base radius is 10 m and the volume is 3800 cubic meters, the height of the storage unit is approximately 36 meters.

Step-by-step explanation:

To find the height of the cone-shaped storage unit, we can use the formula for the volume of a cone:

V = (1/3)πr^2h

Given the base radius is 10 m and the volume is 3800 cubic meters, we can substitute these values into the formula and solve for h:

3800 = (1/3)π(10^2)h

Simplifying the equation, we have:

11400 = 100πh

Dividing both sides by 100π, we get:

h = 11400 / (100π)

Calculating the value, we find h ≈ 36.19 m. Rounding to the nearest whole number, the height of the storage unit is 36 meters.