find the curve surface area of cone and total surface area of cone is R = 4 cm L = 5 cm
Answers
Given:
✰ Radius of base of a cone = 4 cm
✰ Length of a cone = 5 cm
To find:
✠ The curved surface area of cone.
✠ The total surface area of cone.
Solution:
Here we will use formula of curved surface area and total surface area of a cone respectively to calculate them. Putting the values in both the formulas and then doing the required calculations.
Let's find out...✧
✭ Curved surface area = πrl ✭
Where,
- r is the radius of base of a cone.
- l is the length of a cone.
Putting the values in the formula, we have:
➤ Curved surface area = 22/7 × 4 × 5
➤ Curved surface area = 22/7 × 20
➤ Curved surface area = 440/7
➤ Curved surface area ≈ 62.857 cm³
∴ The curved surface area of cone ≈ 62.857 cm³
✭ Total surface area = πr( l + r ) ✭
Where,
- r is the radius of base of a cone.
- l is the length of a cone.
Putting the values in the formula, we have:
➤ Total surface area = 22/7 × 4( 5 + 4 )
➤ Total surface area = 22/7 × 4 × 9
➤ Total surface area = 22/7 × 36
➤ Total surface area = 729/7
➤ Total surface area = 113.143 cm²
∴ The total surface area of cone = 113.143 cm²
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Answer:
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