Question

Sorry my latest question was wrong.
correct question
If volume of cylinder is 616 cu. cm and height is 4 cm. Then find radius and circumference of base

Answer 1

Answer:

• Radius of cylinder = 7 cm
• Circumference of the base of cylinder = 44 cm

Step-by-step explanation:

Given

• Volume of cylinder = 616 cm³
• Height of cylinder = 4 cm

To find

• Radius of cylinder
• Circumference of base

Solution

• Volume of cylinder = πr²h
• 616 = 22/7 × r² × 4
• 616 × 7/22 = 4r²
• 196 = 4r²
• r² = 196/4
• r² = 49
• r = 7

Verification

• Volume = πr²h
• 616 = 22/7 × 7 × 7 × 4
• 616 = 22 × 28
• 616 = 616
• L.H.S = R.H.S

Hence, the radius of cylinder is 7 cm.

• Circumference of base of cylinder = 2πr
• Circumference of base of cylinder = 2 × 22/7 × 7
• Circumference of base of cylinder = 44/7 × 7
• Circumference of base of cylinder = 44

Hence, the circumference of base of cylinder is 44 cm.

Answer 2

$\large \mathfrak \purple {➨ \: \: Question \: :-}$

If volume of cylinder is $\sf 616cm^3$ and height is 4cm, find the radius and circumference of the base.

$\large \mathfrak \purple {➨ \: \: Solution \: :-}$

Given that :-

• Height of cylinder = 4cm
• Volume of cylinder = $\sf 616cm^3$

Finding the radius :-

$\boxed {\bf \blue {\bigstar \: \: Volume \: of \: cylinder=\pi r^2h \: \: \bigstar}}$

$\blue ➨ \: \: \sf \cfrac{22}{7} (r)^2(4) = 616$

$\blue ➨ \: \: \sf 22 \times {r}^{2} \times 4 = 616 \times 7$

$\blue ➨ \: \: \sf r^2 \times 88 = 4312$

$\blue ➨ \: \: \sf r^2= \cfrac{4312}{88}$

$\blue ➨ \: \: \sf r=7cm$

$\bf \blue {\therefore \: Radius \: of \: the \: cylinder =7cm }$

Verifying the radius value :-

Substituting the values and solving :-

$\blue ➨~~\sf \pi r^2h=616cm^3$

$\blue ➨~~\sf \cfrac{22}{7}(7)^2(4)=616cm^3$

$\blue ➨~~\sf \cfrac {22}{\cancel 7} \times (\cancel 7)(7)(4)=616cm^3$

$\blue ➨~~\sf 22 \times 7 \times 4=616cm^3$

$\blue ➨~~\sf 616cm^3=616cm^3$

$\bf \blue {\therefore~Verified!}$

Finding circumference of the base :-

$\boxed {\bf \blue{\bigstar~~ Circumference \: of \: circle=2\pi r ~~\bigstar} }$

$\blue ➨ \: \: \sf 2( \cfrac{22}{7} )(7)$

$\blue ➨ \: \: \sf 2( \dfrac{22}{\cancel7} )(\cancel7)$

$\blue ➨ \: \: \sf 44cm$

$\bf \blue {\therefore \: Circumference \: of \: base=44cm}$

$\large \mathfrak \purple {➨ \: \: Know \: more \: :-}$

• Area of circle = $\sf \pi r^2$
• Radius of circle = $\sf \cfrac {Diameter}{2}$
• Area of semicircle = $\sf \cfrac {\pi r^2}{2}$