Question

Lani is making a cake in the shape of a cone. To make the cake, she uses a cone shape mold. The mold has a diameter of 10 inches and a height of 12 inches.
What is the volume of the cake?

Use 3.14 for pi. Round to the nearest tenth, if necessary.

125.6 in³

314 in³

942 in³

1256 in³

Answer 1

V=1/3(hpir^2)=(1/3)(12)(pi)(5^2)=(4)(pi)(25)=100pi which is 314 if you are using 3.14 for pi

Answer 2

So, if the diameter is 10, that means the radius is half that.

$\bf \textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}\quad \begin{cases} r=radius\\ h=height\\ -----\\ r=5\\ h=12 \end{cases}\implies V=\cfrac{\pi \cdot 5^2\cdot 12}{3}$