Volume cones quick check unit 7 lesson 6 answers
The volume of a cone is given by the formula V = (1/3)πr^2h, where r is the radius of the base and h is the height of the cone.
1) A cone has a radius of 4 cm and a height of 6 cm. Find its volume.
V = (1/3)π(4^2)(6) = (1/3)π(16)(6) = (1/3)(96π) ≈ 100.53 cm^3
2) A cone has a radius of 8 m and a height of 10 m. Find its volume.
V = (1/3)π(8^2)(10) = (1/3)π(64)(10) = (1/3)(640π) ≈ 670.21 m^3
3) A cone has a radius of 3 in and a height of 7 in. Find its volume.
V = (1/3)π(3^2)(7) = (1/3)π(9)(7) = (1/3)(63π) ≈ 65.97 in^3
4) A cone has a radius of 5 ft and a height of 12 ft. Find its volume.
V = (1/3)π(5^2)(12) = (1/3)π(25)(12) = (1/3)(300π) ≈ 314.16 ft^3