Question

The volume of a right circular cylinder is 3080 cu.cm and its height is 5cm. Find the values of the following:
1) radius of the base
2) circumference of the base
(π=22/7)


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Answer 1

1) volume of cylinder=22/7×r²

3080=22/7×r²

3080×7/22=r²

√980=r

r=31.30cm answer

2) circumference of cylinder=2×22/7×31.30

=196.74cm² answer

Answer 2

Answer:

volume of a right circular cylinder is 3080 cucm

height h=5cm

let r is the radius of the base

then, πr^2.h=3080

=> πr^2.5=3080

=> πr^2=3080/5

=> πr^2=616

=> r^2=616/π

=> r^2=616×7/22

=> r^2=56×7/2

=> r^2=28×7

=> r^2=2×2×7×7

=> r=√(2×2×7×7)

=> r=2×7

=> r=14

so radius of the base is 14 cm

circumference of the base =2πr

=2×22×14/7 cm

=2×22×2 cm

=88 cm