Question

Find the volume of the specified cone. use 3.14 for pi, and round your answer to the nearest whole number. diameter = 5 cm, height = 7 cm
a. 73 cu. cm
b. 46 cu. cm
c. 275 cu. cm
d. 183 cu. cm

Answer 1

In geometry there are numerous formulas for specific shapes. However, you must know the basic concept to it so that you don't need to memorize a lot. For any given solid shape with equal bases, its volume is equal to the area of its base times its perpendicular height. But for pointed solids like a cone or a pyramid, the general formula of the volume is one-third of the product of the base area and the perpendicular height. For a cone, its base is circle, so:

V = `1/3 * πr² * h

The half of a diameter is the radius. So, r = d/2. Substituting the values

V = 1/3 * (3.14)(5/2)² * 7
V = 45.79 or 46 cm³

The answer is letter B.