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3 years ago

Find the lateral area and surface area of a cone with a radius of 12 and a height of 21

Mathematics

2 answers:

marishachu [46]3 years ago

6 0

Answer:

The Lateral Surface Area is 911.32 square unit and

Total Surface Area is 1361.7 square unit.

Step-by-step explanation:

For a given Cone

Radius (r) = 12

Height (h) = 21

For Lateral Surface Area

<h3>Formula: </h3>

A = πr√r² + h²

A = 3.14 × 12 × √(12)² + (21)²

A = 3.14 × 12 × √144 + 441

A = 3.14 × 12 × √585

A = 37.68 × 24.18

A = 911.32 square unit

Now,

For Total Surface Area

<h3>Formula:</h3>

A = πrl + πr²

For Slant height (l)

l² = r² + h²

l² = (12)² + (21)²

l² = 144 + 441

l² = 585

l = 24.18

So,

A = πrl + πr²

A = πr(l + r)

A = 3.14 × 12 × (24.14 + 12)

A = 3.14 × 12 × 36.14

A = 1361.7 square unit

Thus, The Lateral Surface Area is 911.32 square unit and Total Surface Area is 1361.7 square unit.

-TheUnknownScientist

Solnce55 [7]3 years ago

4 0

Step-by-step explanation:

Hope it's helpful to you dear frnd ☺️

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2 years ago

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Answer:

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Steps will be below.

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At the bottom I attached a picture of how I did the subtracting and how I checked my work.

Sorry for my handwriting......if you can’t understand my handwriting, I attached another picture which is more clearer.

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3 years ago

Find the lateral area and surface area of a cone with a radius of 12 and a height of 21￼

Find the lateral area and surface area of a cone with a radius of 12 and a height of 21