Question

A cylindrical cup is 8 centimeters in height. When filled to the very top, it holds 480 cubic centimeters of water. What is the radius of the cup, rounded to the nearest tenth? Explain or show your reasoning

Answer 1

4.36cm

Explanation:

Volume of cylinder= πr^2h480= 22/7× r√2 × 8r^2 = (480×7)/(22×8)r^2 = 210/11r= √210/11 r= 4.36cm

Answer 2

4.33 or 4.3

Explanation:

Volume = π * radius^2 * height

Given that the height is 8 centimeters and the volume is 480 cubic centimeters, we can rearrange the formula to solve for the radius:

480 = π * radius^2 * 8

Divide both sides by 8π:

480 / (8π) = radius^2

Simplify:

60 / π = radius^2

Take the square root of both sides to solve for the radius:

√(60 / π) = radius

Using a calculator or approximating π to 3.14, we can calculate the radius:

√(60 / 3.14) ≈ 4.33