Surface Area and Volume of Cones and Pyramids Review

Front

What does the 'B' in the volume formula V = Bh stand for?

Back

Area of the base.

Front

What is the formula for the surface area of a cone?

Back

Surface Area = πr(r + l), where r is the radius and l is the slant height.

Front

How do you calculate the volume of a cone?

Back

Volume = (1/3)πr²h, where r is the radius and h is the height.

Front

What is the formula for the surface area of a pyramid?

Back

Surface Area = B + (1/2)Pl, where B is the area of the base, P is the perimeter of the base, and l is the slant height.

Front

What is the volume formula for a pyramid?

Back

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

Front

If a cone has a radius of 5 cm and a height of 12 cm, what is its volume?

Back

Volume = (1/3)π(5²)(12) = 100π cm³ ≈ 314.16 cm³.

Front

What is the slant height of a cone?

Back

The slant height is the distance from the base to the apex along the side of the cone.

Front

How do you find the area of the base of a pyramid with a square base?

Back

Area = side², where 'side' is the length of one side of the square.

Front

What is the relationship between the height and slant height of a right pyramid?

Back

The slant height is the hypotenuse of a right triangle formed by the height, half the base length, and the slant height.

Front

If a pyramid has a square base with a side length of 6 cm and a height of 10 cm, what is its volume?

Back

Volume = (1/3)(6²)(10) = 120 cm³.