find the curved surface area of a cone having base radius 35 cm and height 84cm

Question

Answer

Slant height = √r² + h²
slant height = √35²+ ⁸84²
= √1225+7056
=√8281
= 91 cm

c.s.a. of cone = πrl
= 22/7 x 35 x 91
= 10010 cm²

Answer

bro csa of a cone=pie r l (ris radius of base and l is slant height of cone ) and by this formula u get csa of ur's given cone is10010cm square

Answer

thank you ma;am

Answer

Curved Surface Area of a Cone

To find the curved surface area of a cone, we need to understand the concept of a cone and its properties. A cone is a three-dimensional geometric shape with a circular base and a pointed top called the apex. The curved surface of a cone is formed by connecting all the points on the lateral surface of the cone.

Given Information:
- Base radius (r) = 35 cm
- Height (h) = 84 cm

Formula for Curved Surface Area of a Cone:
The formula to calculate the curved surface area (CSA) of a cone is given by:
CSA = π * r * l
where π represents the mathematical constant pi (approximately equal to 3.14159), r is the radius of the base, and l is the slant height of the cone.

Finding the Slant Height:
To calculate the slant height (l), we can use the Pythagorean theorem. In a right-angled triangle, the slant height is the hypotenuse, and the base radius and height form the other two sides.
Using the Pythagorean theorem:
l² = r² + h²

Calculation:
Given: r = 35 cm, h = 84 cm
Using the Pythagorean theorem:
l² = 35² + 84²
l² = 1225 + 7056
l² = 8281
l = √8281
l ≈ 91 cm

Substituting Values into the Formula:
CSA = π * r * l
CSA = 3.14159 * 35 * 91
CSA ≈ 10065.96 cm²

Thus, the curved surface area of the cone is approximately 10065.96 cm².

Summary:
- A cone is a three-dimensional shape with a circular base and a pointed top.
- The curved surface area of a cone is formed by connecting all the points on the lateral surface of the cone.
- The formula for the curved surface area of a cone is CSA = π * r * l, where r is the base radius and l is the slant height of the cone.
- The slant height can be calculated using the Pythagorean theorem: l² = r² + h².
- By substituting the given values into the formula, we find that the curved surface area of the cone is approximately 10065.96 cm².

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