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a right cone has a radius of 12 cm and a slant height of 28 cm. find the lateral area and surface area of the pyramid. round to three decimal places

User Olita
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1 Answer

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Given:

Radius of cone, r = 12 cm

Slant height, L = 28 cm

Let's find the lateral area and surface area of the cone.

Lateral area:

To find the lateral area of the cone, apply the formula:


A=\pi rl

Thus, we have:


\begin{gathered} A=\pi\ast12\ast28 \\ \\ A=\pi\ast336 \\ \\ \text{ A = }1055.575cm^2 \end{gathered}

Solving further:

Therefore, the lateral area is 1055.575 square centimeters.

Surface Area:

To find the surface area, apply the formula


SA=\pi rl+\pi r^2

We have:


SA=(\pi\ast12\ast28)+(\pi\ast12^2)

Solving further:


\begin{gathered} SA=(1055.575)+(452.389) \\ \\ \text{ SA=1507.964 cm}^2 \end{gathered}

Therefore, the surface area is 1507.964 square centimeters.

ANSWER:

Lateral area = 1055.575 cm²

Surafce area = 1507.964 cm²

User Ben Myers
by
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