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weqwewe [10]
3 years ago
5

HELPP PLEASEE!!

Mathematics
1 answer:
Likurg_2 [28]3 years ago
5 0

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).

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