Question

3. A cone has radius 4.5 cm and height 10.4 cm. Calculate, in terms of π, the volume of the cone. [The volume, V, of a cone with radius r and height h is V=r²h.]​

Answer 1

Answer: Using the formula for the volume of a cone, which is V = (1/3)πr^2h, we can calculate the volume of the cone with a radius of 4.5 cm and a height of 10.4 cm.

Substituting the given values into the formula, we get:

V = (1/3)π(4.5 cm)^2(10.4 cm)

Simplifying, we get:

V = (1/3)π(20.25 cm^2)(10.4 cm)

V = (1/3)π(210.6 cm^3)

V = 70.2π cm^3

Therefore, the volume of the cone is 70.2π cubic centimeters.

Explanation: