Question

a rectangular vessel of dimensions 30 cm into 22 cm into 10 cm is completely filled with water. this water is poured completely into a conical vessel of base diameter 30 cm. find the height of the water in the conical vessel.

Answer 1

Answer:

SOLUTION :  

Given :  

Length of a rectangular vessel, l = 20 cm

Breadth of a rectangular vessel, b = 16 cm

Height of a rectangular vessel, h = 11 cm

Radius of a conical vessel, r = 10 cm

Here, water from rectangular vessel (cuboid) is poured into a conical vessel.

Let, the height of a conical vessel be H  

Volume of cuboid =  volume of conical vessel

l × b × h = ⅓ πr²H

20 × 16 × 11 = ⅓ × 22/7 × 10² × H

20 × 16 × 11 = ⅓ × 22/7 × 100 × H

H = (20 × 16 × 11 × 3 × 7) / (100 × 22)

H = (16 × 11 × 3 × 7) / (5 × 22)

H = 3696/110 = 33.6 cm

Hence , the height of the conical vessel is 33.6 cm.

Answer 2

Answer:

HEIGHT =33.6M

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