Question

if the height and raidus of a cyllinder are in ratio
7:5 and volume is 550 cm cube find raidus​

Answer 1

Question :-

• If the height and raidus of a cyllinder are in ratio 7:5 and volume is 550 cm³. Find raidus.

Answer

Given :-

• The volume of cylinder is 550 cm³.

• Height : Radius = 7 : 5

To find :-

• Radius of cylinder

Formula Used:-

${\red\bigstar\: { \boxed{\large{\bold\green{Volume_{(Cylinder\:block)}\: = \:\pi r^2 h }}}}} \:$

Solution :-

Let us assume that

• Height of cylinder be h.

• Radius of cylinder be r.

Now,

According to statement,

• Height : Radius = 7 : 5

So,

• Let height, h = 7x

and

• Let radius, r = 5x.

Given that

• Volume of cylinder = 550 cm³

So,

Using the formula of Volume of cylinder, we have

$\rm :\implies\:Volume_{(Cylinder)}\: = \:\pi r^2 h$

$\rm :\implies\:550 = \dfrac{22}{7} \times 5x \times 5x \times 7x$

$\rm :\implies\:550 \: = \: 550 \: {x}^{3}$

$\rm :  \implies \: {x}^{3} \: = \: 1$

$\rm :\implies\:x \: = \: 1$

Hence,

$\boxed{ \pink{ \rm \: radius \: of \: cylinder \: (r) \: = 5 \times 1 = 5 \: cm}}$

─━─━─━─━─━─━─━─━─━─━─━

More information :-

Perimeter of rectangle = 2(length× breadth)

Diagonal of rectangle = √(length ²+breadth ²)

Area of square = side²

Perimeter of square = 4× side

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 = 4/3πr³

Surface area of sphere = 4πr²

Volume of hemisphere = ⅔ πr³

C.S.A of hemisphere = 2πr²

T.S.A of hemisphere = 3πr²

Answer 2

Answer:

radius= 5 cm

Step-by-step explanation:

ratio of the height and radius of a cylinder = 7:5

radius= 5k

height = 7k

volume = πr^2h= 550

22/7× 5k×5k× 7k = 550

k^3 = 550/(22×5×5)

k^3=1

k= 1

radius= 5k= 5×1=5 cm

radius= 5k= 5×1=5 cmheight = 7k= 7×1=7 cm