Question

Find the radius of a right circular cylinder whose volume is 3080cu.cm and height is equal to 2ocm

Answer 1

Given :-

• Volume of right circular cylinder is 3080cu.cm and height is equal to 20cm

To find :-

• Radius of right circular cylinder

Solution :-

• Volume of right circular cylinder = 3080cm³

• Height of cylinder = 20cm

As we know that

→ Volume of cylinder = πr²h

Where " r " is radius and " h " is height of cylinder

As per given condition

→ Volume of cylinder = 3080

→ πr²h = 3080

Put the value of π and h

→ 22/7 × r² × 20 = 3080

→ 22/7 × 20 × r² = 3080

→ 440/7 × r² = 3080

→ r² = 3080 × 7/440

→ r² = 21560/440

→ r² = 49

→ r = √49

→ r = 7 cm

Hence,

• Radius of right circular cylinder is 7cm

Answer 2

Given :-

• Volume of right circular cylinder is 3080cu.cm and height is equal to 20cm

To find :-

• Radius of right circular cylinder

Solution :-

• Volume of right circular cylinder = 3080cm³

• Height of cylinder = 20cm

• As we know that

↦ Volume of cylinder = πr²h

• R = radius, h = height of cylinder.

↦ Volume of cylinder = 3080

⠀⠀↦ πr²h = 3080

Put the value of π and h,

↦ 22/7 × r² × 20 = 3080

⠀↦ 22/7 × 20 × r² = 3080

⠀⠀↦ 440/7 × r² = 3080

⠀⠀⠀↦ r² = 3080 × 7/440

⠀⠀⠀⠀↦ r² = 21560/440

⠀⠀⠀⠀⠀↦ r² = 49

⠀⠀⠀⠀⠀⠀↦ r = √49

⠀⠀⠀⠀⠀⠀⠀↦ r = 7 cm

Hence,

• Radius of right circular cylinder is 7cm