Mathematics: the volume of a cylinder is 44cm3. find the volume of another cylinder of the same height and double the base radius

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the volume of a cylinder is 44cm3. find the volume

goldenrizo

13.07.2021

$Volume \ of \ other\ cylinder = 176 \ cm^3$

Step-by-step explanation:

Let the volume of cylinder Vₐ = 44cm³

Let radius of cylinder " a " be = rₐ

Let height of cylinder " b" be = hₐ

$Volume_a = \pi r_a^2 h_a\\\\44 = \pi r_a^2 h_a$

Given cylinder " b ", Radius is twice cylinder " a " , that is r_b = 2 r_a

Also Height of cylinder " b " is same as cylinder " a " , that is h_b = h_a

$Volume_b = \pi r_b^2 h_b$

$= \pi (2r_a)^2 h_a\\\\=4 \times \pi r_a^2 h_a\\\\= 4 \times 44\\\\= 176 \ cm^3$

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