Volume of a Cylinder

V = πr²h, where V is the volume, r is the radius, and h is the height.

π (pi) is a mathematical constant approximately equal to 3.14, representing the ratio of the circumference of a circle to its diameter.

The volume increases by a factor of four, since volume is proportional to the square of the radius (V = π(2r)²h = 4πr²h).

The diameter is twice the radius (d = 2r).

Rearrange the volume formula: h = V / (πr²).

V = πr²h = 3.14 * (3 cm)² * (5 cm) = 141.3 cm³.

V = πr²h = 3.14 * (4 m)² * (10 m) = 502.4 m³.

h = V / (πr²) = 100 cm³ / (3.14 * (2 cm)²) = 7.96 cm.

First, find the radius: r = 5 inches. Then, V = πr²h = 3.14 * (5 inches)² * (5 inches) = 392.5 in³.

Look at the hundredths place; if it's 5 or more, round up the tenths place by one.