Question

A cylindrical bucket of base diameter 26 cm and height 30 cm is completely filled with water and
each time the water is poured into a cuboidal tank. The tank is 90 cm long, 35 cm broad and 52
cm high. Find the number of full buckets of water required to fill the tank.
please explain​

Answer 1

Answer:

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Answer 2

Answer: 11 buckets of water will be needed to fill the tank.

Step-by-step explanation:

Diameter of cylindrical bucket = 26 cm

Radius of cylindrical bucket = 26/2 = 13 cm

Height of cylindrical bucket = 30 cm

Volume of cylinder = $\pi r^{2} h$

Volume of bucket = $\pi(13) ^{2} 30$ cm³

Volume of water in fully-filled bucket = Volume of bucket =  $\pi(13) ^{2} 30$ cm³

Length of tank = 90 cm

Breadth of tank = 35 cm

Height of tank = 52 cm

Volume of tank = 90 × 35 × 52 cm³

Number of buckets required = Volume of tank ÷ Volume of 1 bucket

Number of buckets required = $\frac{90 * 35 * 52 }{\pi (13) ^{2} 30}$

Number of buckets required = $\frac{3 * 35*4}{13\pi }$

Number of buckets required = 10.28

As number of buckets can only be even, 11 buckets will be needed.

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