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  • The rain water from a roof of dimensions 22 m × 20 m drains into a cylindrical vessel having diameter of base 2 m and height 3.5 m. If the rain water collected from the roof just fill the cylindrical vessel, then find the rainfall in cm.

The rain water from a roof of dimensions 22 m × 20 m drains into a cylindrical vessel having diameter of base 2 m and height 3.5 m. If the rain water collected from the roof just fill the cylindrical vessel, then find the rainfall in cm.

Answers (1)

The radius of the cylindrical vessel

=\frac{2}{2}=1cm

            Height = 3.5 cm

           \text{ Volume} =\pi r^2 h=\frac{22}{7}\times 1 \times 1 \times \frac{35}{10}=11m^3

            Let the height of rainfall = x

            Length = 22m

            Breadth = 20m

           Volume= l \times b \times h

                        = 22 \times 20 \times x

            Rainfall = volume of water = volume of the cylindrical vessel

                        22 \times 20 \times x=11

                        x=\frac{11}{22 \times 20}=\frac{1}{40}=0.025 m

                        x=0.025 m

            Or        x= 2.5cm        [Q 1 m = 100 cm]

            Hence the rainfall is in 2.5 cm

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infoexpert21

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