A cylindrical tumbler is 4 in. wide and 7 in. tall. About how much liquid can it hold? Use 3.14 for pi

Answer 1

To calculate the volume of the cylindrical tumbler, we use the formula for the volume of a cylinder:

V = πr^2h

Where:
V = volume of the cylinder
r = radius of the base of the cylinder
h = height of the cylinder

Given that the tumbler is 4 inches wide, the radius of the base is half of the width, which is 4/2 = 2 inches. The height of the tumbler is 7 inches.

Plugging in the values:

V = π(2)^2(7)
V = π(4)(7)
V = 28π

Approximating π to 3.14:

V ≈ 28 x 3.14
V ≈ 87.92 cubic inches

Therefore, the cylindrical tumbler can hold approximately 87.92 cubic inches of liquid.