Question

Jordan ssaw that a unique building was going to be built downtown.The design looks like a cone on topp of a cylinder.He started to make a replica of the unique building with cklay.What is the volume of the jordan's replica in cm^3

Answer 1

The given figure is formed by a cylinder and a cone.

The volume of a cone is

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

Where pi = 3.14, r = 5 cm, and h = 13 cm. Let's replace these values

$\begin{gathered} V=\frac{1}{3}\cdot3.14\cdot(5cm)^2\cdot13\operatorname{cm} \\ V=340.17\operatorname{cm}^3 \end{gathered}$

The volume of a cylinder is

$V=\pi r^2h$

Where pi = 3.14, r = 5cm, and h = 2 cm. Let's replace these values

$\begin{gathered} V=3.14\cdot(5cm)^2\cdot(2\operatorname{cm})=3.14\cdot25\cdot2 \\ V=157\operatorname{cm}^3 \end{gathered}$

Then, we add both volumes to find the total

$V_{\text{total}}=340.17+157=497.17\operatorname{cm}^3$

Hence, the volume of the composite figure is around 497.17 cubic centimeters.