Volume of Pyramids and Cones

Front

What is the formula for the volume of a cone?

Back

The volume V of a cone is given by the formula V = (1/3)πr²h, where r is the radius of the base and h is the height.

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

How do you calculate the volume of a pyramid?

Back

The volume V of a pyramid is calculated using the formula V = (1/3)Bh, where B is the area of the base and h is the height.

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CCSS.HSG.GMD.A.3

Front

What is the relationship between diameter and radius?

Back

The radius r is half of the diameter d, so r = d/2.

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CCSS.7.G.B.4

Front

If a cone has a diameter of 8 inches, what is its radius?

Back

The radius is 4 inches, since r = d/2 = 8/2.

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CCSS.7.G.B.4

Front

How do you convert the diameter of a cone to radius when calculating volume?

Back

Divide the diameter by 2 to find the radius.

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the approximate value of π used in calculations?

Back

The approximate value of π is 3.14.

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CCSS.HSG.GMD.A.1

Front

How do you round a number to the nearest tenth?

Back

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

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CCSS.3.NBT.A.1

CCSS.4.NBT.A.3

Front

What is the volume of a cone with a radius of 3 inches and a height of 10 inches?

Back

Using the formula V = (1/3)πr²h, the volume is V = (1/3)π(3)²(10) = 30π cubic inches.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a cone with a diameter of 8 inches and a height of 10 inches?

Back

First, find the radius: r = 4 inches. Then, V = (1/3)π(4)²(10) = (1/3)π(16)(10) = 160/3π ≈ 502.4 cubic inches.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a pyramid with a square base of side length 6 cm and height 5 cm?

Back

The area of the base B = 6² = 36 cm². The volume V = (1/3)Bh = (1/3)(36)(5) = 60 cm³.

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CCSS.HSG.GMD.A.3