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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?

User Iyke
by
7.9k points

2 Answers

4 votes

Answer:

12.5

Explanation:

User Djakubosky
by
8.0k points
3 votes

Answer:

  • cylinder — 90π in³
  • pyramid — 37 1/3 in³
  • cone — 12.5π in³

Explanation:

The volume of a cylinder is given by ...

V = Bh . . . . . where B is the base area and h is the height

The volume of a pyramid or cone is given by ...

V = (1/3)Bh . . . . . where B is the base area and h is the height

The area of a square of side length s is ...

A = s²

The 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

User Ian
by
8.5k points
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