Question

Regina owns a drum that has a diameter of 14 inches and a height of 5.5 inches, as shown below. She wants to design a new drum by dilating the dimensions of the original drum by a scale factor of 1.4. 14 in. 5.5 in. What will be the diameter, d, and the height, h, of the new drum? F. d 19.6 in. and h 7.7 in. G. d 15.4 in. and h 6.9 in. H. d 12.5 in. and h 4 in. J. d 22.5 in. and h 14 in.

Answer 1

D=7.7

H=19.6

key words

diameter ( 14 inches)

hight ( 5.5 inches )

scale factor (1.4 )

dilating

Answer 2

By using the scale factor of 1.4, the diameter, d, and the height, h, of the new drum is d 19.6 in. and h 7.7 in. Option F.

How to find the new diameter

When dilating a shape, each dimension is multiplied by the scale factor to find the corresponding dimension in the new shape.

For the diameter of the new drum:

Original diameter = 14 inches

New diameter = Original diameter × Scale factor

New diameter = 14 inches × 1.4 = 19.6 inches

For the height of the new drum:

Original height = 5.5 inches

New height = Original height × Scale factor

New height = 5.5 inches × 1.4 = 7.7 inches

Therefore, the correct answer is F. d 19.6 in. and h 7.7 in.