the volume of the cylinder is half of its total surface area ( in numbers). if the radius of its base is 7 cm, find the volume
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Answered by
34
we know that:
volume if cylinder(V) = πr²h
radius,r= 7cm
total surface area(A) = 2πr(h+r)
according to question:
1/2volume of cylinder = total surface area
V/2=A
πr²h/2= 2πr(h+r)
rh=4h+4r
we put r= 7 cm
7h= 4h+4×7
7h-4h=28
3h=28
h=28/3
volume = πr²h
=(22/7)×7×7×(28/3)
=(22×7×28)/3
=1437.34 cm³.
volume if cylinder(V) = πr²h
radius,r= 7cm
total surface area(A) = 2πr(h+r)
according to question:
1/2volume of cylinder = total surface area
V/2=A
πr²h/2= 2πr(h+r)
rh=4h+4r
we put r= 7 cm
7h= 4h+4×7
7h-4h=28
3h=28
h=28/3
volume = πr²h
=(22/7)×7×7×(28/3)
=(22×7×28)/3
=1437.34 cm³.
7255987278:
thanks
Answered by
36
Answer:
Ans:179.67.
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