Question

A right circular cylinder has a height of 2214 ft and a diameter 225 times its height.

Answer 1

Answer:

Volume is 431288166770775 cubic feet.

Step-by-step explanation:

The height of the cylinder = 2214 ft

Let d be the diameter . Hence, we have

d = 225 × 2214 = 498150 ft

Hence, the radius should be half of diameter.

$r=\frac{d}{2}\\\\r=\frac{498150}{2}\\\\r=249075ft$

The volume of cylinder is given by

$V=\pi r^2h\\\\V=3.14(249075)^2(2214)\\\\V=431288166770775ft^3$

Answer 2

Answer:

Volume of the cylinder = 49806.06 ft^2

Step-by-step explanation:

I think the problem was mistyped. The actual height is 22 1/4 ft and the actual diameter is 2 2/5 times its height.  Therefore,  the diameter is 2.4*22.25 = 53.4 ft

Volume of the cylinder = π*(D^2)/4*h

where D is the diameter of the cylinder and h its height. Replacing with the values:

V = 3.14*(53.4^2)/4*22.25

V = 49806.06 ft^2