Question

The curved surface area of a cylinder is 4400 cm.sq. and the circumference of its base is 110 cm. Find the volume of the cylinder.

Answer 1

Answer:

Volume = 38,500 cm³.

Step-by-step explanation:

$\text{Let the radius of base of the cylinder be r and its be be h.}\\\\\text{Circumference of base = } 2 \pi r\\\\\text{But, given circumference of base of cylinder = 110 cm}\\\\\text{According to question,}\\\\2 \pi r = 110\\\\2 \times \dfrac{22}{7} \times r = 110\\\\\\\implies r = \dfrac{110 \times 7}{2 \times 22} = \boxed{\dfrac{175}{10} \: cm}\\\\\\\text{Now, Curved Surface Area of Cylinder = } 2 \pi r h\\\\\text{But, given CSA = 4400 cm}^2\\\\\therefore \: \: 2 \pi r h = 4400$

$\implies 2 \times \dfrac{22}{7} \times \dfrac{175}{10} \times h = 4400\\\\\\\implies h = \dfrac{4400 \times 7 \times 10}{2 \times 22 \times 175}\\\\\\\implies h = \boxed{40 \: cm}\\\\\\\text{Thus, Volume of cylinder = } \pi r^2 h\\\\= \dfrac{22}{7} \times \dfrac{175 \times 175}{10 \times 10} \times 40\\\\\\= \large \underline{\boxed{\boxed{\bold{38,500 \: cm^3}}}}$

Hope it helps.

Answer 2

Hopefully Helpful ..........… :)