Question

During math class, Laura stated that the two cylinders shown below have the same volume. Jean interrupted Laura and argued that the volumes of the two cylinders are different. Their

eacher explained that Laura was correct.

Answer 1

3rd option

Explanation:

Cavalieri's principle states that two figures which have the same height and same cross-sectional area have the same volume

the height of the cylinders are both 42

the diameter of both figures is 24 as the diameter of the second cylinder = 12 x 2 = 24

the radius of the cylinders are both equal to 12

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

thus the volumes should be equal