Question

A solid sphere is cut into 8 equal wedges. The volume of each wedge is

V= dor? Solve the formula for r.
O A. r =
6V
B. r = 6V – 7
O c. r= = v
OD. r= 16V (11)

Answer 1

A) r=∛(6v)/
`\pi`

Explanation:

v=1/6
`\pi`r³

v÷1/6=
`\pi`r³

(when dividing by a fraction, invert and multiply)

6v=
`\pi`r³

6v÷
`\pi`=r³

(6v)/
`\pi`=r³

take the cube root of both sides

∛(6v)/
`\pi`=∛r³

∛(6v)/
`\pi`=r