Problema Solution

How many square yards of canvas would be required to make a conical tent 10 feet high and 12 feet in diameter?

Answer provided by our tutors

Assuming the for the tent we also need to have a cover for the base of the tent where it will stand on the ground follows that we need to find the area of a cone with height of 10 feet and 12 feet diameter.

h = 10 ft is the heigh

d = 12 ft is the dimeter

r = d/2 = 12/2= 6 ft is the radius

l = slant height

A = the area

A = r^2pi + r*pi*l

First we find the slant height by using the Pythagorean Theorem:

l^2 = h^2 + r^2

l^2 = 10^2 + 6^2

l^2 = 136

l = 11.66 ft

Now we plug the values in the formula for area:

A = 6^2*pi + 6*pi*11.66 (pi = 3.14)

A = 332.71 ft^2 approximately

Approximately 332.71 ft^2 of canvas would be needed to make a conical tent.