Volume of Cones/Cylinders/Spheres REVIEW

Front

What is the formula for the volume of a cylinder?

Back

Volume = πr²h, where r is the radius and h is the height.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the formula for the volume of a cone?

Back

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

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the formula for the volume of a sphere?

Back

Volume = (4/3)πr³, where r is the radius.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

How do you calculate the volume of a cylinder with a radius of 6 in. and height of 18 in.?

Back

Volume = π(6)²(18) = 678.2 cubic inches.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

How do you calculate the volume of a sphere with a radius of 9 in.?

Back

Volume = (4/3)π(9)³ ≈ 3052.08 cubic inches.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

If a soccer ball has a diameter of 8.66 in., what is its radius?

Back

Radius = Diameter / 2 = 8.66 in. / 2 = 4.33 in.

Tags

CCSS.7.G.B.4

Front

How do you calculate the volume of a soccer ball with a radius of 4.33 in.?

Back

Volume = (4/3)π(4.33)³ ≈ 339.9 cubic inches.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the height of a cone if its volume is 2653.3 cm³ and diameter is 26 cm?

Back

Use the formula: Volume = (1/3)πr²h. Rearranging gives h = (3 * Volume) / (πr²).

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

How do you calculate the volume of a cone with a height of 15 cm and diameter of 26 cm?

Back

Volume = (1/3)π(13)²(15) ≈ 2653.3 cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a cylinder with a height of 10 mm and radius of 10 mm?

Back

Volume = π(10)²(10) ≈ 3140 mm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3