Question

The sum of the radius of base and height of a solid right circular cylinder is 37 cm. If the total surface area of the solid cylinder is 1628 sq. Cm, find the volume of the cylinder

Answer 1

height of cylinder is 30 cm and volume is 4620 cm^3

Answer 2

Answer: The volume of cylinder is 4620 cubic cm.

Step-by-step explanation:

Since we have given that

Sum of radius and height of cylinder = 37

i.e. r+h = 37

Total surface area = 1624 sq. cm.

So, it becomes,

$2\pi r(r+h)=1628\\\\2\times \dfrac{22}{7}\times r\times 37=1628\\\\r=\dfrac{1628\times 7}{44\times 37}\\\\r=7$

So, r+h = 37

7+h = 37

h = 37-7

h = 30 cm

So, volume of cylinder would be

$\pi r^2h=\dfrac{22}{7}\times 7^2\times 30\\\\=22\times 7\times 30\\\\=4620\ cm^3$

Hence, the volume of cylinder is 4620 cubic cm.