Question

The Raffi of the top and bottom a bucket of stand hight 45 are 28 and 7cm respectively.find the coved surface are of the bucket
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Answer 1

Appropriate Question :

The radii of the top and bottom a bucket of slant height 45 are 28 and 7cm respectively.find the curved surface are of the bucket.

Given :

• The radii of the top and bottom a bucket of slant height 45 are 28 and 7cm respectively.

To Find :

• The Curved Surface Area of the bucket = ?

Solution :

• Slant height of a bucket = 45 cm
• Radius of the top of a bucket = 28 cm
• Radius of the bottom of a bucket = 7 cm

Let the radius of the top of a bucket be 'r' and radius of the bottom of a bucket be 'R' and slant height of a bucket be 'l'.

Finding the lateral surface area of the bucket :

→ CSA of bucket = πl × (r + R)

→ CSA of bucket = 22/7 × 45 × (28 + 7)

→ CSA of bucket = 22/7 × 45 × 35

→ CSA of bucket = 22 × 45 × 5

→ CSA of bucket = 4,950 cm²

• Hence,the curved surface area of the bucket is 4,950 cm².

Formulas related to cone and cylinder :

• Volume of cylinder = πr²h
• T.S.A of cylinder = 2πrh + 2πr²
• Volume of cone = ⅓ πr²h
• C.S.A of cone = πrl
• T.S.A of cone = πrl + πr²