Question

Solve V=1/3bh for b, the base of the cone

Answer 1

To solve the equation \( V = \frac{1}{3} bh \) for \( b \), the base of the cone, follow these steps:

1. Start with the original equation:
\[
V = \frac{1}{3} bh
\]

2. To isolate \( b \), first multiply both sides of the equation by 3 to eliminate the fraction:
\[
3V = bh
\]

3. Next, divide both sides by \( h \) to solve for \( b \):
\[
b = \frac{3V}{h}
\]

Thus, the formula for the base \( b \) of the cone is:
\[
b = \frac{3V}{h}
\]