Sphere Volume Surface Area

Find the volume of a hemisphere with a radius of 4m.

• 85.32 m³

• 134.04 m³

• 42.67 m³

• 143.45 m³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Find the surface area of the hemisphere.

• 134.7 m²

• 100.5 m²

• 267.9 m²

• 201.6 m²

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Calculate the volume of a sphere with a radius of 5 cm. (Use the formula V = (4/3) * π * r^3)

• 210.3 cm^3

• 785.4 cm^3

• 314.2 cm^3

• 523.6 cm^3

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A sphere has a volume of 288π cubic units. Find its radius. (Use the formula V = (4/3) * π * r^3)

• 8

• 6

• 10

• 4

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

If the surface area of a sphere is 154π square units, what is its radius? (Use the formula A = 4 * π * r^2)

• 5.5 units

• 6.1644 units

• 7.2 units

• 8.9 units

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A water tank in the shape of a sphere has a volume of 288π cubic meters. Find the radius of the tank. (Use the formula V = (4/3) * π * r^3)

• 8

• 6

• 12

• 10

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Explain how the volume of a sphere is related to the cube of its radius.

• The volume of a sphere is related to the radius through the formula V = (4/3) * π * r.

• The volume of a sphere is related to the square of its radius through the formula V = (4/3) * π * r^2.

• The volume of a sphere is related to the cube of its diameter through the formula V = (4/3) * π * d^3.

• The volume of a sphere is related to the cube of its radius through the formula V = (4/3) * π * r^3.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Determine the surface area of a sphere with a radius of 8 m. (Use the formula A = 4 * π * r^2)

• 32π m^2

• 64π m^2

• 128π m^2

• 256π m^2

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A giant ball has a surface area of 314.16 square meters. What is its radius? (Use the formula A = 4 * π * r^2)

• 5 meters

• 7 meters

• 3 meters

• 10 meters

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Describe a real-life scenario where understanding sphere surface area is crucial.

• Calculating sphere surface area is important for training pets.

• Understanding sphere surface area is crucial for baking a perfect cake.

• Sphere surface area is essential for predicting the weather accurately.

• Architects need to calculate the surface area of a sphere to determine the quantity of materials required for building domes or spherical structures.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3