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What is the surface area of the cone? answer in terms of pi

What is the surface area of the cone? answer in terms of pi-example-1
User Micnil
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Answer:

360π in²

Explanation:

SA = πrl + πr²

π = pi

r = radius = 10

l = lateral height = 26

h = height = x

To find the height, we will need to set up an equation. As you can see, the height, radius, and lateral height come together to form a right triangle, so we can use the Pythagorean Theorem to find x.

a² + b² = c²

10² + x² = 26²

x² + 100 = 676

x² + 100 - 100 = 676 - 100

x² = 576

√x² = √576

x = 24

The height of the cone is 24 in. Now we can input all of these values into the above equation and solve for SA.

SA = πrl + πr²

SA = π(10)(26) + π(10²)

SA = 260π + 100π

SA = 360π

The total surface area of the cone is 360π in².

Hope this helps!

User Panama Jack
by
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