Question

the curved surface area of a cylinder is 176cm2 and its area of the base is 38.5cm2. find the volume of cylinder

Answer 1

Area of base=38.5 cm^2
=)pi*r^2=38.5
=)r^2=38.5×7/22
=)r=root 12.25
=)r=3.5 cm
Then,
CSA of cylinder=176
=)2*22/7*3.5*h=176
=)22h=176
=)h= 8 cm
Now,
Volume of cylinder=22/7×3.5×3.5×8
=308 cm^3
Hope it helps u.

Answer 2

Answer:

• Volume of cylinder = 307.72 cm³ (Approx).

Step-by-step explanation:

Given:

• CSA of cylinder = 176 cm²
• Area of base = 38.5 cm²

To Find:

• Volume of cylinder

Now, first we will calculate its height and radius,

⇒ Area of base = πr²

⇒ 38.5 = 3.14 × r²

⇒ r² = 38.5/3.14

⇒ r² = 12.26

⇒ r = 3.5 cm (Approx)

Now, CSA of cylinder = 2πrh

⇒ 176 = 2 × 3.14 × 3.5 × h

⇒ 176 = 19.78h

⇒ h = 176/21.98

⇒ h = 8 cm (Approx)

Now, we will calculate volume of cylinder,

⇒ Volume of cylinder = πr²h

⇒ Volume of cylinder = 3.14 × 3.5 × 3.5 × 8

⇒ Volume of cylinder = 307.72 cm³ (Approx).

Hence, Volume of cylinder = 307.72 cm³ (Approx).