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

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.

The lateral side of a triangular pyramid is a triangle. in order to increase the lateral surface area, the slant height and the height should be altered