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The Radii of Two Circular Ends of a Frustum Shape Bucket Are 14 Cm and 7 Cm. the Height of the Bucket is 30 Cm. How Many Liters of Water It Can Hold? - Geometry

Sum
The radii of two circular ends of a frustum shape bucket are 14 cm and 7 cm. The height of the bucket is 30 cm. How many liters of water it can hold?
(1 litre = 1000 cm)
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Solution

Radius of one circular end, r1 = 14 cm
Radius of other circular end, r= 7 cm
Height of the bucket, h = 30 cm 
∴ Volume of water in the bucket = Volume of frustum of cone

\[= \frac{1}{3}\pi h\left( r_1^2 + r_1 r_2 + r_2^2 \right)\]
\[ = \frac{1}{3} \times \frac{22}{7} \times 30 \times \left( {14}^2 + 14 \times 7 + 7^2 \right)\]
\[ = \frac{1}{3} \times \frac{22}{7} \times 30 \times 343\]
\[ = 10780 {cm}^3\]

\[= \frac{10780}{1000}\]
\[ = 10 . 780 L\]

Thus, the bucket can hold 10.780 litres of water.

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APPEARS IN

Balbharati Mathematics 2 Geometry 10th Standard SSC Maharashtra State Board
Chapter 7 Mensuration
Practice set 7.2 | Q 1 | Page 148
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