Tanks A and B are each in the shape of a… | Answer | TuitionWave

Subject

Quantitative Aptitude

Topic

Percentage

Tanks A and B are each in the shape of a right circular cylinder. The interior of tank A has a height of 10 meters and a circumference of 8 meters, and the interior of tank B has a height of 8 meters and a circumference of 10 meters. The capacity of tank A is what percent of the capacity of tank B ?
Reading

ক)

76%

খ)

72%

গ)

80%

ঘ)

82%

Explanation

circumference of A =

2\mathrm{πr}

= 8 => so r =

\frac4{\mathrm\pi}

volume =

\mathrm\pi\times\left(\frac4{\mathrm\pi}\right)^2\times10

=

\frac{160}{\mathrm\pi}

circumference of B =

2\mathrm{πr}

= 10 => so r =

\frac5{\mathrm\pi}

volume =

\mathrm\pi\times\left(\frac5{\mathrm\pi}\right)^2\times8

=

\frac{200}{\mathrm\pi}

so ratio of capacities = 160/200 = 0.8 so capacity of A will be 80% of the capacity of B.

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