The radii of the circular ends of a bucket of height 40 cm are 24 cm and 15 cm. The slant height (in cm) of the bucket is
Bucket is in the shape of a frustum of a cone
Therefore,
Given: Height of the frustum: 40 cm
Radius of the Circular ends: 24cm and 15cm
Here slant height h can be found by using Pythagoras theorem.
∴ s2 = h2 + (R-r)2 (here R is 20cm and r is 8cm)
⇒ s2 = 402 + (24—15)2
⇒ s2 = 402 + (9)2
⇒ s2 = 1600 + 81
⇒ s2 = 1681
⇒ s = √1681 = 41
∴ Slant height 0f the Frustum is 41cm
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