Question

Sandra calculated the height of a cylinder that has a volume of 576 pi cubic centimeters and a radius of 8 centimeters. Her work is shown below. V = B h Step 1: 576 pi = pi 8 squared h Step 2: 576 pi = 64 pi h Step 3: StartFraction 576 pi Over 64 pi EndFraction = StartFraction 64 pi Over 64 pi EndFraction h Step 4: h = 9 pi cm What error did Sandra make when calculating the height of the cylinder? In step 1, she substituted into the volume formula incorrectly. In step 2, she calculated 8 squared incorrectly. It should be 16 rather than 64. In step 4, the pi should have canceled, making the correct answer 9 cm. Sandra calculated the height of the cylinder correctly.

Answer 1

Answer:

C. In step 4, the (pie) should have canceled, making the correct answer 9 cm.

Step-by-step explanation:

Volume=576π cubic centimeters

Radius=8 cm

h=?

Her work:

Volume of a cyclinder=πr^2h

Step 1:

576π= π8^2h

Step 2:

576π = 64πh

Step 3:

576π / 64π = 64πh / 64π

Step 4:

h=9π cm

Correct workings:

Step 1:

576π= π8^2h

Step 2:

576π = 64πh

Step 3:

576π / 64π = 64πh / 64π

Step 4:

h= 9 centimeters

Her error is in step 4

C. In step 4, the (pie) should have canceled, making the correct answer 9 cm.