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andre [41]
3 years ago
14

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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