Question

The C.S.A of cone is 4620 cm². R=21cm.find slant height

Answer 1

Answer:

Answer with explanation attached.

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Answer 2

• Given

• Curved Surface area of cone = 4620 cm²
• Radius = 21 cm

• To find

• Slant height

• Solution

Using formula,

Curved surface area = πrl

where,

• Take π = 22/7
• r = radius
• l = length

Substituting the values,

⟶ 4620 = 22/7 × 21 × h

⟶ 4620 = 462/7 × h

⟶ (4620 × 7)/462 = h

⟶ 10 × 7 = h

⟶ 70 = h

Therefore, slant height of the cone = 70 cm

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Some related formulae -

• Area of circle = πr²
• Volume of cylinder = πr²h
• Total surface area of cylinder = 2πrh + 2πr²
• Total surface area of cone = πrl + πr²h
• Curved surface area of cone = πrl
• Volume of cone = 1/3 πr²h
• Diameter = 2 × radius
• Radius = Diameter/2