3 years ago

Find the total surface area of this cone.

Mathematics

1 answer:

Mama L [17]3 years ago

3 0

Answer:

$SA = 70\pi$

Step-by-step explanation:

Given

See attachment for cone

Required

The total surface area

This is calculated as:

$SA = \pi r\² + \pi rl$

From the attached cone:

$r = 5$ -- radius

$l = 9$ --- slant height

So, we have:

$SA = \pi * 5^2 + \pi * 5*9$

$SA = 25\pi + 45\pi$

$SA = 70\pi$

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Step-by-step explanation:

Alrighty, what have we here: an area of 162 m² and a width of 9m.

So: A=162m², W=9m, let's draw this: (see the screenshot attached)

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