Volume of Spheres, Cones, and Cylinders and Surface Area

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 sphere?

Back

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

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 surface area of a cylinder?

Back

Surface Area = 2πr(h + r), where r is the radius and h is the height.

Front

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

Back

Surface Area = 4πr², where r is the radius.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

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

If a cylinder has a base area of 153.86 ft² and a volume of 615.44 ft³, what is its height?

Back

Height = Volume / Base Area = 615.44 ft³ / 153.86 ft² = 4 ft.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a sphere with a radius of 5 m?

Back

Volume = (4/3)π(5)³ = 523.6 m³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

Calculate the volume of a cylinder with a radius of 3 cm and a height of 10 cm.

Back

Volume = π(3)²(10) = 282.7 cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the total surface area of a cylinder with a radius of 3 cm and a height of 10 cm?

Back

Surface Area = 2π(3)(10 + 3) = 245.0 cm².