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The base of a right circular cone has a radius of 10cm. The height of the cone is 10cm. Find the volume and surface area of the cone.

User Edtruant
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Answer:

..V = (pi*r²*h)/3

The volume of the cone is equal to: π×(10)2×10/3=1046.6666 = 1046.7cm³ (with pi =3.14)

The area of the lateral surface S of its development is equal to: S=π×R×a

, where a is the apothem of the cone.

we the height of the cone rather than its apothem, then the formula becomes: S=π×R×√(R²+h²)

The area of the side surface of the cone with radius 10 and height 10 is equal to 3.14 × 10 × √(10² + 10²) ≈ 444.06cm²...(with pi = 3.14)

Explanation:

User Dscl
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