Which of the following equations is equivalent to s=πr^2h
Answer:
h = s / π.r²
Step-by-step explanation:
the given equation is s = π.r².h
Now if we have to calculate the value of h from the given formula then we will solve it so that h remains alone on one side of the equation.
This only possible when we divide term on both the sides by π.r²
s/π.r² = π.r².h/π.r²
h = s / π.r²
Therefore h = s / π.r² is the right option.
Answer:
The equation \(h=\frac{s}{\pi r^2}\) is equivalent to \(s=\pi r^2h\). The correct option is B.
Step-by-step explanation:
The given equation is
\(s=\pi r^2h\)
Divide both sides by \(\pi r^2\) to isolate h.
\(\frac{s}{\pi r^2}={\pi r^2h}{\pi r^2}\)
Cancel out common factors.
\(\frac{s}{\pi r^2}=h\)
Therefore the equation \(h=\frac{s}{\pi r^2}\) is equivalent to \(s=\pi r^2h\). The correct option is B.