The radii of the top and bottom of a bucket of slant height 45 cm are 28 cm and
7 cm, respectively. The curved surface area of the bucket is
Answers
Solution :
Given:
The radius of top of bucket, r₂ = 28cm.
The radius of bottom of bucket, r₁ = 7cm.
Slant height of bucket, l = 45cm.
Need to find:
The (CSA) curved surface area of the bucket.
Explanation:
We know that, bucket is always is in the form of frustum cone. So, we will apply CSA of frustum formula to find the curved surface area of the bucket
We know that, if we are given with slant height of bucket, radii of the top and bottom of a bucket, then we have the required formula, that is,
CSA of frustum = πl(r₁ + r₂).
By using the required formula and plugging all the given values in the formula, we get:
→ CSA of frustum = 22/7 × 45(7 + 28)
→ CSA of frustum = 22/7 × 45 × 35
→ CSA of frustum = 22 × 45 × 5
→ CSA of frustum = 990 × 5
→ CSA of frustum = 4950.
Hence, the frustum of bucket is 4950cm².
Step-by-step explanation:
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