Question

The volume of this right circular cylinder is 64π cubic yards. If h, the height of the cylinder, is 4 yards, what is r, the radius of the base?

Answer 1

Answer:

h = 4 cm

Step-by-step explanation:

The formula for volume of a cylinder is

V = πr²h      where V is the volume, r is the radius, and h is the height.

We are given V = 64π, and r = 4, plug those in and solve for h

64π = π(4²)h

64π = 16πh

(64π)/(16π) = (16πh)/(16π)      (divide both sides by 16π)

4 = (16π)/(16π)h

 4 = h

Answer 2

Answer:

• Radius = 4 yards

Solution:

Here, we are provided a right circular cylinder with :

• Volume = 64 π cubic yards
• Height = 4 yards
• Radius = ?

We know that :

$\quad\hookrightarrow\quad{\pmb{ \mathfrak { Volume = \pi r^2 h }}}$

Therefore,

$\implies\quad \sf{V = \pi r^2 h }$

$\implies\quad \sf{64\pi = \pi r^2 \times 4 }$

$\implies\quad \sf{ \pi r^2 \times 4 = 64\pi}$

$\implies\quad \sf{r^2 =\dfrac{64\pi}{\pi \times 4} }$

$\implies\quad \sf{ r^2 =\dfrac{\cancel{64}}{\cancel{4}}\times \cancel{\dfrac{\pi}{\pi}}}$

$\implies\quad \sf{ r^2 = 16}$

$\implies\quad \sf{r=\sqrt{16} }$

$\implies\quad \underline{\underline{\pmb{\sf{r= 4}}} }$