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

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

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

Answer 2

The volume of the cone is 314in^3 which is option b

To solve this question, we need to use the formula of volume of a cone which is given as

$V = \frac{1}{3}\pi r^2h$

• v = volume
• r = radius
• h = height of the cone.

The data give are;

• diameter (d) = 10in; r = d/2 = 5in
• height (h) = 12in

Volume

$v =\frac{1}{3} \pi r^2h\\v =\frac{1}{3}*3.14*5^2*12\\v=314in^3$

From the above, the volume of the cake is 314in^3

Learn more about the volume of a cone here;

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