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What is the surface area of the rightcone?26 cm24 cmA 260π cm²2B 340 cm²10 cmC 360 cm²D 6240 cm²

What is the surface area of the rightcone?26 cm24 cmA 260π cm²2B 340 cm²10 cmC 360 cm-example-1

1 Answer

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Given:

• Height of cone = 24 cm

,

• Radius of cone = 10 cm

,

• Slant height = 26 cm

Let's find the surface area of the right cone.

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


SA=\pi rs+\pi r^2

Where:

s is the slant height

r is the radius

Thus, we have:


\begin{gathered} SA=(\pi *10*26)+(\pi *10^2) \\ \\ SA=260\pi+100\pi \\ \\ SA=360\pi\text{ cm}^2 \end{gathered}

Therefore, the surface area of the cone is 360π cm².

ANSWER:

C. 360π cm².

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