Surface Area and Volume of Cones and Pyramids Review

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

• Area of the base.

• Height of the object.

• Volume of the object.

• Circumference of the base.

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

• Surface Area = πr²

• Surface Area = 2πr² + 2πrh

• Surface Area = πr(r + l)

• Surface Area = πrl

What is the slant height of a cone?

• The height of the cone from the base to the apex.

• The distance from the base to the apex along the side of the cone.

• The radius of the base of the cone.

• The circumference of the base of the cone.

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

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

• The height and slant height are equal in a right pyramid.

• The slant height is always shorter than the height of the pyramid.

• The height is the longest side of the triangle formed with the slant height.

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

• 100 cm³

• 200 cm³

• 100π cm³

• 314.16 cm³

What is the total surface area of a cone with a radius of 3 cm and a slant height of 5 cm?

• 12π cm² (≈ 37.7 cm²)

• 18π cm² (≈ 56.5 cm²)

• 24π cm² (≈ 75.4 cm²)

• 30π cm² (≈ 94.2 cm²)

What is the volume formula for a pyramid?

• Volume = (1/2)Bh

• Volume = Bh

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

• Volume = (1/4)Bh

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

• Surface Area = B + (1/2)Pl

• Surface Area = 2B + Pl

• Surface Area = B + 2Pl

• Surface Area = (1/3)Bh

How do you round a volume to the nearest tenth?

• Look at the hundredths place; if it's 5 or more, round up the tenths place by one.

• Always round down regardless of the hundredths place.

• Round up if the tenths place is odd, otherwise round down.

• Ignore the hundredths place and keep the tenths place as is.

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

• Area = side × height

• Area = 2 × side

• Area = side²

• Area = side + height