The traffic cone is 19 inches tall & has a radius of 5 inches. Find the lateral area.

Question

anonymous · Answer

A circular pillar candle is 2.8 inches wide & 6 inches tall. Find the VOLUME of the candle.

anonymous · Answer

A tea bag is shaped like a regular square pyramid. Each leg of the base is 4 cm, and the height is 5 cm. Find the VOLUME of the tea bag.

anonymous · Answer

One question at a time, please...

The surface area for a cone is
$$A=\pi r^2+\pi r\sqrt{r^2+h^2}$$
(if I'm remembering correctly, that is...)

The total area is the sum of the lateral area and the area of the circular base. The area of the circular base is $\pi r^2$, so the lateral area must be $\pi r\sqrt{r^2+h^2}$.

anonymous · Answer

The candle is a "circular pillar," which I would take to mean it is cylindrical. The volume of a cylinder is
$$V=\pi r^2h$$
However, you're given the width, which I would interpret as the diameter, which is twice the length of the radius, so in fact you have $r=\dfrac{2.8}{2}=1.4$ inches.

anonymous · Answer

The volume of a square-base regular pyramid is
$$V=\frac{1}{3}s^2h$$
where $s$ is the length of each side of the base.

anonymous · Answer

A regulation softball has a circumference of 12 inches. What is the volume of the softball