The volume of a cyclinder is 94.2cm³ and it's height is 6cm what is its radius
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Volume of cylinder = 94.2 cm³
Height of cylinder = 6 cm
Now we have to find out the radius of base of cylinder.
We know that :-
Volume of cylinder = π r² h
Let radius of given cylinder be x.
According to the question :-
➝ 94.2 = π × x² × 6
➝ 94.2 = (22/7) × x² × 6
➝ 94.2×7 = 22 × x² × 6
➝ 659.4 = 132× x²
➝ 659.4/ 132 = x²
➝4.9 = x²
➝√(4.9) = x
➝ 2.2 ( approx) = x
Therefore, radius = 2.2 cm
Additional Information :
Volume of cylinder = πr²h
T.S.A of cylinder = 2πrh + 2πr²
Volume of cone = ⅓ πr²h
C.S.A of cone = πrl
T.S.A of cone = πrl + πr²
Volume of cuboid = l × b × h
C.S.A of cuboid = 2(l + b)h
T.S.A of cuboid = 2(lb + bh + lh)
C.S.A of cube = 4a²
T.S.A of cube = 6a²
Volume of cube = a³
Volume of sphere = (4/3)πr³
Surface area of sphere = 4πr²
Volume of hemisphere = ⅔ πr³
C.S.A of hemisphere = 2πr²
T.S.A of hemisphere = 3πr²