Question

the volume and the curved surface area of a cylinder are 154cm cube and 44sq.m respectively. Find the diameter of the base of the cylinder​

Answer 1

Step-by-step explanation:

Given:

⇒R=0.7m

⇒CSA=4.4 m

2

Let's assume height be x

⇒2πrh=4.4 m

2

⇒2×

7

22

×0.7x=4.4

⇒x=

2×22×0.7

4.4×7

=1m

⇒Height =1m

Answer 2

Answer:

14 m is the diameter of the base of the cylinder.

Step-by-step explanation:

Given : Volume (πr²h) = 154 m³ & C.S.A (2πrh) = 44 m² of cylinder.

To find : Diameter of the base (d or 2r).

Solution : We have volume and curved surface area of a cylinder.

⇒ πr²h = 154 m³

⇒ 22/7 × r²h = 154 m³

⇒ r²h = 49 m³  - (1)

⇒ 2πrh = 44 m²

⇒ 2 × 22/7rh = 44 m²

⇒ 44/7rh = 44 m²

⇒ rh = 7 m²

⇒ h = 7/r  - (2)

Placing (2) in (1) :

⇒ r²(7/r) = 49

⇒ 7r²/r = 49

⇒ 7r = 49

⇒ r = 7 m

or, Diameter of the base (2r) = 14 m.

Verification : Find height with the radius, h = 7/r = 7/7 = 1 m.

⇒ Volume = πr²h = 22/7 × 49 =  154 cm³. Hence, verified !

∴ The diameter of the base of the cylinder is 14 m.