Real-World Challenges in Surface Area & Volume Calculations

A cone has a radius of 3 cm and a height of 4 cm. What is its volume?

• 15π cm³

• 12π cm³

• 9π cm³

• 20 cm³

A cylinder has a radius of 5 cm and a height of 10 cm. Calculate its surface area.

• 471 cm²

• 400 cm²

• 300 cm²

• 520 cm²

A sphere has a diameter of 12 cm. What is its volume?

• 678.24 cm^3

• 1130.98 cm^3

• 904.32 cm^3

• 452.39 cm^3

If a cone has a base radius of 2 cm and a height of 6 cm, what is its surface area?

• 12π cm²

• 4π(1 + √10) cm²

• 8π(1 + √5) cm²

• 6π(1 + √3) cm²

A cylindrical water tank has a radius of 7 m and a height of 15 m. How much water can it hold in liters? (1 m³ = 1000 liters)

• 200000 liters

• 3000000 liters

• 2304300 liters

• 1500000 liters

A sphere is inscribed in a cube with a side length of 10 cm. What is the surface area of the sphere?

• 50π cm²

• 200π cm²

• 25π cm²

• 100π cm²

A cone-shaped party hat has a base radius of 4 inches and a height of 9 inches. What is the total surface area of the hat?

• Approximately 100.00 square inches

• Approximately 50.24 square inches

• Approximately 75.50 square inches

• Approximately 83.66 square inches

A cylinder has a height of 8 cm and a volume of 150 cm³. What is the radius of the cylinder?

• 3.07 cm

• 4.0 cm

• 2.5 cm

• 5.5 cm

A spherical balloon has a radius of 5 inches. How much air can it hold? (Volume of a sphere = 4/3πr³)

• 600 cubic inches

• 400 cubic inches

• 523.6 cubic inches

• 250 cubic inches

A cone has a slant height of 10 cm and a base radius of 3 cm. What is the lateral surface area of the cone?

• 20π cm²

• 15π cm²

• 30π cm²

• 25π cm²