Mathematics

Amirah Swanson

23 July, 09:04

The volume of a cone is 88 pi cubic feet. Its height is 8 feet. Fatima is finding the radius of the cone. Her work is shown below.

V = one-third pi r squared h. Step 1: 88 pi = one-third pi r squared (8). Step 2: 88 pi = StartFraction 8 Over 3 EndFraction pi r squared. Step 3: StartFraction 8 Over 3 EndFraction (88) = r squared. Step 4: 234.7 = r squared. Step 5: 15.3 = r.

What is Fatima's error?

In step 4, Fatima did not find the correct value of StartFraction 8 Over 3 EndFraction (88).

In step 2, Fatima should not have multiplied One-third and 8.

In step 3, Fatima did not multiply 88 by the reciprocal of StartFraction 8 Over 3 EndFraction.

In step 1, Fatima did not substitute the correct value for the height in the formula.