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3 years ago

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

Mathematics

2 answers:

miskamm [114]3 years ago

5 0

So what you need to do is form another cylinder that has a volume of 44cm3 and then double the base size by the radius.

Hoochie [10]3 years ago

5 0

Answer:

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

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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