What is the volume of a cylinder with radius 4 cm and height 10 cm?

The volume of a cylinder with radius 4 cm and height 10 cm is 502.65 cubic centimetres.

To find the volume of a cylinder, you use the formula \( V = \pi r^2 h \), where \( V \) is the volume, \( r \) is the radius of the base, and \( h \) is the height of the cylinder. In this case, the radius \( r \) is 4 cm and the height \( h \) is 10 cm.

First, square the radius: \( 4^2 = 16 \). Next, multiply this result by the height: \( 16 \times 10 = 160 \). Finally, multiply by \( \pi \) (approximately 3.14159): \( 160 \times \pi \approx 502.65 \).

So, the volume of the cylinder is approximately 502.65 cubic centimetres. This means if you were to fill the cylinder with water, it would hold about 502.65 cubic centimetres of water. Understanding this formula is crucial for solving problems involving the volume of cylindrical shapes, which you might encounter in various real-life situations and exams.