Question

Two cones have a radius of 2 cm. The height of one cone is 8 cm. The other cone is 1/4 of that height. Which of these statements is NOT true?

Answer 1

The wrong statement: The volume or the smaller cone cannot be determined because its height is unknown.

We already know that the larger cone has a height of 8 cm and that the smaller cone is just 1/4 of 8 cm.

8×1/4 = 2 cm.

You can still find its volume by using the formula 1/3πr^2.

Answer 2

Answer:

Out of given option only option (d) is wrong.

The volume of the smaller cone cannot be determined because its height is unknown.

Step-by-step explanation:

Given two cones with radius 2 cm.

The height of one cone is 8 cm an the height of other cone is $\frac{1}{4}$ of the height of first cone.

Height of second cone = $\frac{1}{4}$ of the height of first cone.

                                     = $\frac{1}{4}\times 8=2$

Volume of  cone = $\frac{1}{3} \pi r^2h$

Thus, Volume of smaller cone =$\frac{1}{3} \pi (2)^2 \cdot\frac{1}{4}\times 8$

                              =$\frac{1}{3} \pi (2)^2 \cdot 2$

                               =$\frac{1}{3} 4 \pi\cdot 2$

Thus, out of given option only option (d) is wrong.

The volume of the smaller cone cannot be determined because its height is unknown.