Question

Electric utility poles in the form of right cylinders are made out of wood that costs $25.99 per cubic foot. Calculate the cost of a utility pole with a radius of 0.5 ft and a height of 25 ft. Round your answer to the nearest cent.

Answer 1

Answer:$509.51

Explanation:

The volume of a right cylinder is given by:

V = πr^2h

where r is the radius and h is the height.

Plugging in the values given in the problem, we get:

V = π(0.5)^2(25) = 19.63 cubic feet

The cost of the utility pole is the product of its volume and the cost per cubic foot of the wood, which is $25.99. Therefore, the cost is:

Cost = 19.63 x $25.99 = $509.51

Rounding to the nearest cent, the cost of the utility pole is $509.51.