A Slice of Cake

V = (30/360)*(πr²h) = 62.5π $$ => k = 63

62.5

Since a circle has a 360 angle of rotation, then 360/30 = 12 meaning you will have 12 pieces of cakes having that dimensions

so to get the volume of the cake then V= 1/12 x pi x r x r x h = 1/12 x pi x 5x5x30 = 62.5 x pi = 63 x pi

Volume =pi * radius^2 * height* angle / 360

I sent a request clarification but it seemed that there's a misconception about that.

I just want to say, please complete your problem with the required unit of volume. Thanks...

Anyway, the solution of this problem is as following $$ $\begin{aligned} V&=\frac{30^\circ}{360^\circ}\pi r^2h\\ &=\frac{1}{12}\pi (5)^2(30)\\ &=62.5\pi\;\text{cm}^3.\\ \end{aligned}$ $$ Thus, $\lfloor\,K\,\rceil=63$ .

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$\text{\# }\mathbb{Q.E.D.}\text{ \#}$