Question

HELPP PLEASEE!!

Answer 1

Answer:

A). Options (C) and (E)

B). 4.8 times

Step-by-step explanation:

Part A

Volume of cylinder (1) = πr²h

                                    = π(6)²(5)

                                    = 565.5 cubic inches

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

                               = $\frac{1}{3}(\pi )(6)^2(5)$

                               = 188.5 cubic inches

Volume of cylinder (2) = πr²h

                                     = π(6)²(15)

                                     = 1696.5 cubic inches

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

                                = $\frac{1}{3}\pi (6)^2(15)$

                                = 565.5 cubic inches

Volume of sphere = $\frac{4}{3}\pi r^{3}$

                              = $\frac{4}{3}\pi (6)^{3}$

                              = 904.8 cubic inches

Figure having volume greater than 600 cubic inches are cylinder (2) and sphere.

Options (C) and (E) are the correct options.

Part (B)

$\frac{\text{Volume of sphere}}{\text{Volume of cone (1)}}$ = $\frac{904.8}{188.5}=4.8$

Therefore, volume of sphere is 4.8 times the volume of cone (1).