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Find the surface area of a cone with slant height 10 cm and diameter 12 cm to the nearest hundredth

User Leander
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1 Answer

1 vote

Given:

Slant height = 10 cm

Diameter = 12 cm

Let's find the surface area of the cone.

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


A=\pi rl+\pi r^2

Where:

L is the slant height = 10 cm

r is the radius = diameter/2 = 12/2 = 6 cm

Plug in the values into the formula and solve for surface area A:


\begin{gathered} A=(\pi *6*10)+(\pi *6^2) \\ \\ A=188.496+113.097 \\ \\ A=301.59\text{ cm}^2 \end{gathered}

Therefore, the surface area of the cone to the nearest hundredth is 301.59 cm².

ANSWER:

301.59 cm²

User JFFF
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