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A bucket is frustum shaped. Its height is 28 cm. Radii of circular faces are
12 cm and 15 cm. Find the capacity of the bucket. ( n =22/7 )
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Radius of upper part of the bucket(R) = 28 cm
Radius of Lower part of the bucket(r)= 7 cm
Volume of the bucket = 1/3πh( R²+r²+Rr)
21560 = 1/3×22/7×h[(28)² + (7)² + 28×7)]
21560 = 1/3×22/7×h[ 784+49+196]
21560 = 1/3×22/7×h(1029)
21560 = 1/3×22/7× 1029H
H = 21560×3×7/22638
H = 452760/22638
H = 20 cm.
Slant height (L) = ✓(h)²+(R-r)²
= ✓(20)² + (28-7)²
= ✓400+441 = ✓841 = 29 cm
THEREFORE,
TSA of bucket = CSA of bucket + Area of Lower part of the bucket
= πL(R+r) + πr²
Putt the all values and solve.. you will get the TSA of bucket..
hope it helps
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