Question

Peaches come in large and small cylindrical cans. The larger can has a radiusand height that are both four times longer than the radius and height of thesmaller can. If the volume of the smaller can is 32.16 in what is the volume ofthe larger can?O A. 385.92 in 3O B. 257.28 in3O C. 128.64 inO D. 2058.24 in

Answer 1

Answer:

The answer is D

Answer 2

Answer:

D. 2058.24 in³

Step-by-step explanation:

Let r,h be the radius and height of smaller can and R,H be the radius and height of larger can

Then, R=4r  and H=4h

Volume of smaller can=32.16 in³

        ⇒                  πr²h=32.16 in³

Volume of larger can= πR²H

                                  = π(4r²)×4h

                                 = 64πr²h

                                 = 64×32.16 in³

                                =  2058.24 in³

Hence, correct option is:

D. 2058.24 in³