Question

1. The radius of a circular cylinder is same as
that of a sphere. Their volumes are equal. The
height of the cylinder is
4
(a) 3 times its radius
(b) times its radius
3
(c) equal to its radius
(d) equal to its diameter​

Answer 1

Answer:

a) The radius of a circular cylinder is the same as that of a sphere. Their volumes are equal. The height of the cylinder is 4/3 times its radius.

Step-by-step explanation:

The radius of a circular cylinder  =  radius of a sphere.  

volumes of a circular cylinder = volumes of a sphere.

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

$h = \frac{4}{3} r$

So the height of the cylinder is 4/3 of its radius.

Answer 2

Answer:

Height of the cylinder is $\frac{4}{3}$ times of its radius.              ( Short answer type )

Step-by-step explanation:

Given,

The radius of a circular cylinder =  the radius of a sphere = r

  Volume of a circular cylinder =  Volume of a sphere

⇒ π$r^{2}$h = $\frac{4}{3}$π$r^{3}$

⇒ h = $\frac{4}{3} r$

∴ h = $\frac{4}{3} r$

Therefore,

Height of the cylinder is $\frac{4}{3}$ times of its radius.