Find the radius

This problem is a piece of ice cream.

The volume of a right circular cylinder is given by $\pi r^2h$ . So we have

$\pi r^2 h = 924$ $\color{#D61F06}(1)$

The lateral area of a right circular cylinder is given by $2 \pi r h$ . So we have

$2 \pi r h=264$ $\implies$ $\pi rh=132$ $\color{#D61F06}(2)$

Now, divide $\color{#D61F06}(1)$ by $\color{#D61F06}(2)$ , we have

$\dfrac{\pi r^2 h}{\pi r h}=\dfrac{924}{132}$

$\boxed{r=7}$

2(pi)rh = 294 implies, rh =42. (pi)r^2 h = 924 implies r^2 h =294 implies, 42r = 294 gives, r= 7.

The problem is simple.

Just you need to know the formulas.

The important formulas are :

Curved surface area= 2 * PI * radius * height =264 ----------------------------------( i )

Volume = PI * radius * radius * height = 924 ----------------------------------------( ii )

Dividing equation ( ii ) by equation ( i ) we get,

(PI * radius * radius * height) / (2 * PI * radius * height) = 924 / 264

radius / 2 = 3.5

radius = 3.5 * 2 = 7

Hence, our final answer is 7