Question

7. If the radius and height of a cylinder are in the ratio of 3 : 7 and its volume is 1584 cm³. find the
radius of the cylinder.
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Answer 1

Answer:

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If the radius and height of a cylinder are in the ratio of 3 : 7 and its volume is 1584 cm³. Find the radius of the cylinder.

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Step-by-step explanation:

Let Radius =3a and height =7a

Volume of a Cylinder of Radius R and height h =πR²h

Hence, volume of the given ccylinder=

$\frac{22}{7} \times 3a \times 3a \times 7a = 1584cm^{2}$

$a ^{3} = 8$

$a = 2$

Hence, Radius = 6cm and height =14cm

Answer 2

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➼If the radius and height of a cylinder are in the ratio of 3 : 7 and its volume is 1584 cm³. Find the radius of the cylinder.

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Step-by-step explanation:

Let Radius =3a and height =7a

Volume of a Cylinder of Radius R and height h =πR²h

Hence, volume of the given cylinder=

$\huge \mathfrak \red{\frac{22}{7} \times 3a \times 3a \times 7a} = \mathfrak \purple{1584cm^{2} }$

$\huge \mathfrak \red{a ^{3} = } \mathfrak \purple{8a }$

$\huge \mathfrak \pink{ =8}$

$\huge \mathfrak \red{a \: = 2a \: = \: 2 }$

Hence, Radius = 6cm and height =14cm