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3 years ago

Find the total surface area of this cone.

Mathematics

1 answer:

xxMikexx [17]3 years ago

5 0

Answer:

SA = 360π in²

Step-by-step explanation:

The slant height l is the hypotenuse of the right triangle inside the cone.

Using Pythagoras' identity to find l

l² = 24² + 10² = 576 + 100 = 676 ( take the square root of both sides )

l = $\sqrt{676}$ = 26

Then

SA = πrl + πr²

= (π × 10 × 26) + (π × 10²)

= 260π + 100π

= 360π in²

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