A cylindrical pail that has the base area of 9 pi inches squared and a height of 10 inches. One friend bought a pyramid mold with a square base with edge length of 4 inches and height of 7 inches. The other friend bought a cone with a radius of 2.5 inches and the height of six inches. What is the volume of these three objects?
Accepted Solution
A:
Answer:cylinder — 90π in³pyramid — 37 1/3 in³cone — 12.5π in³Step-by-step explanation:The volume of a cylinder is given by ... V = Bh . . . . . where B is the base area and h is the heightThe volume of a pyramid or cone is given by ... V = (1/3)Bh . . . . . where B is the base area and h is the heightThe area of a square of side length s is ... A = s²The area of a circle of radius r is ... A = πr²___Using these formulas, the volumes of these objects are ... cylinder: (9π in²)(10 in) = 90π in³ square pyramid: (1/3)(4 in)²(7 in) = 37 1/3 in³ cone: (1/3)(π(2.5 in)²)(6 in) = 12.5π in³ . . . . slightly larger than the pyramid