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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

Jordan ssaw that a unique building was going to be built downtown.The design looks-example-1
User Piaste
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The given figure is formed by a cylinder and a cone.

The volume of a cone is


V=(1)/(3)\pi r^2h

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


\begin{gathered} V=(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.

User Newaj
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