Question

Find the radius of a cylinder of height 21 cm and volume 3234 ³

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Answer 1

Question -

Find the radius of a cylinder of height 21 cm and volume 3234 cm³

Solution -

Given,

Volume of the cylinder =3234cm³

Height of cylinder (h) = 21cm

We know that,

Volume of cylinder = πr²h

Putting the values we will get -

$3234 = \frac{22}{7} \times {r}^{2} \times 21$

$3234 = 66 \times {r}^{2}$

${r}^{2} = \frac{3234}{66}$

${r}^{2} = 49$

$r = \sqrt{49}$

$r = 7$

$\boxed{\boxed{\bf \: \therefore \: The \: radius(r) \: of \: the \: cylinder \: is \: 7cm}}$

Related Formulae -

• Volume of the cylinder = πr²h
• Curved surface area of cylinder = 2πrh
• Total surface area of cylinder =2πr(r+h)

Answer 2

Step-by-step explanation:

Question -

• Find the radius of a cylinder of height 21 cm and volume 3234 cm³

Solution -

Given,

Volume of the cylinder =3234cm³

Height of cylinder (h) = 21cm

We know that,

Volume of cylinder = πr²h

Putting the values we will get -

$3234 = \frac{22}{7} \times {r}^{2} \times 21$

$3234 = 66 \times {r}^{2}$

${r}^{2} = \frac{3234}{66}$

${r}^{2} = 49$

$r = \sqrt{49}$

$r = 7$

$\boxed{\boxed{\bf \: \therefore \: The \: radius(r) \: of \: the \: cylinder \: is \: 7cm}}$

Related Formulae -

• Volume of the cylinder = πr²h
• Curved surface area of cylinder = 2πrh
• Total surface area of cylinder =2πr(r+h)