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When A right cone has a slant height of 7 and a radius of 5 what is the surface area?
Wiki User
∙ 6y ago
The surface area consists of the circular base and the sloped side.
By cutting the sloped side from the apex to the base, it can be "flatten" out into a sector of a circle - the length of the arc is the same as the circumference of the base, and it is a fraction of the whole circle with radius of the slant height, which can be applied to the area of the circle.
→ surface area = area case + area sloped side
= π × 5² + (π × 7²) × (2 × π × 5)/(2 × π × 7)
= 25π + 49π × 5/7
= 25π + 35π
= 60π square units
≈ 188.5 square units
Wiki User
∙ 6y ago
bookworm
Wiki User
∙ 6y agoIt is 188.5 square units.
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What is the slant height of a cone if the surface area is 395.64 square meters?
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How do you find the slant height of a cone if you have surface lateral and radius?
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