To find the area of canvas required for a conical tent, we need to calculate the surface area of the cone. The formula for the surface area of a cone is πr(r + √(h² + r²)), where r is the radius of the base and h is the height of the cone.

Given:
Radius (r) = 7 m
Height (h) = 24 m

Step 1: Calculate the square of the radius and the height.
r² = (7 m)² = 49 m²
h² = (24 m)² = 576 m²

Step 2: Add the square of the radius and the height.
r² + h² = 49 m² + 576 m² = 625 m²

Step 3: Find the square root of the sum.
√(r² + h²) = √625 m² = 25 m

Step 4: Add the radius and the square root of the sum.
r + √(r² + h²) = 7 m + 25 m = 32 m

Step 5: Multiply the result by π and the radius.
Area = πr(r + √(r² + h²)) = π * 7 m * 32 m = 704π m²

So, the area of canvas required for the conical tent is 704π m².

Question

To find the area of canvas required for a conical tent, we need to calculate the surface area of the cone. The formula for the surface area of a cone is πr(r + √(h² + r²)), where r is the radius of the base and h is the height of the cone.

Given:
Radius (r) = 7 m
Height (h) = 24 m

Step 1: Calculate the square of the radius and the height.
r² = (7 m)² = 49 m²
h² = (24 m)² = 576 m²

Step 2: Add the square of the radius and the height.
r² + h² = 49 m² + 576 m² = 625 m²

Step 3: Find the square root of the sum.
√(r² + h²) = √625 m² = 25 m

Step 4: Add the radius and the square root of the sum.
r + √(r² + h²) = 7 m + 25 m = 32 m

Step 5: Multiply the result by π and the radius.
Area = πr(r + √(r² + h²)) = π * 7 m * 32 m = 704π m²

So, the area of canvas required for the conical tent is 704π m².

Knowee AI · Accepted Answer

To find the area of canvas required for a conical tent, we need to calculate the surface area of the cone. The formula for the surface area of a cone is πr(r + √(h² + r²)), where r is the radius of the base and h is the height of the cone.

Given:
Radius (r) = 7 m
Height (h) = 24 m

Step 1: Calculate the square of the radius and the height.
r² = (7 m)² = 49 m²
h² = (24 m)² = 576 m²

Step 2: Add the square of the radius and the height.
r² + h² = 49 m² + 576 m² = 625 m²

Step 3: Find the square root of the sum.
√(r² + h²) = √625 m² = 25 m

Step 4: Add the radius and the square root of the sum.
r + √(r² + h²) = 7 m + 25 m = 32 m

Step 5: Multiply the result by π and the radius.
Area = πr(r + √(r² + h²)) = π * 7 m * 32 m = 704π m²

So, the area of canvas required for the conical tent is 704π m².

Find the area of canvas required for a conical tent of height 24 m and base radius 7 m.

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