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

Answer:

A) r=∛(6v)/$\pi$

Step-by-step 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