Question

a cylinder whose height is two third of it diameter has the same volume as a sphere of radius 4 cm calculate radius of base of cylinder

Answer 1

Hey there!

We are Given that,
Height of cylinder = 2/3 × Diameter

But,
Diameter = 2 × Radius

∴ $h=\frac{2}{3}\times 2r=\frac{4}{3}r$

Now,
Volume of the Cylinder = Volume of the Sphere

$\pi r^{2}h=\frac{4}{3}\pi r^{3}$

$\pi\times r^{2}\times \left ( \frac{4}{3}r \right )=\frac{4}{3}\pi\left ( 4 \right )^{3}$

$\left ( r \right )^{3}=\left ( 4 \right )^{3}$

r = 4cm

Hence,
Radius of Base of the Cylinder is = 4 cm

HOPE IT HELPED ^_^

Answer 2

I hope this answer may help you...!!