Question

He sum of the radius and height of a cylinder is 19 m. If the total surface area of the cylinder is 1672 m2 , what is the volume of the cylinder ? (in m3 )

Answer 1

THE ANSWER IS 3080m^3.

Answer 2

The volume of the cylinder is 3080 m³.

Step-by-step explanation:

Given : The sum of the radius and height of a cylinder is 19 m. If the total surface area of the cylinder is 1672 m².

To find : What is the volume of the cylinder ?

Solution :

Let the radius and height be 'r' and 'h' respectively.

$r+h=19$  .....(1)

The total surface area of the cylinder is $TSA=2\pi r(r+h)$

$1672=2\times \frac{22}{7}\times r(19)$

$r=\frac{1672\times 7}{2\times 22\times 19}$

$r=14$

Substitute in (1),

$14+h=19$

$h=5$

The volume of the cylinder is $V=\pi r^2 h$

$V=\frac{22}{7}\times (14)^2\times 5$

$V=22\times 2\times 14\times 5$

$V=3080\ m^3$

Therefore, the volume of the cylinder is 3080 m³.

#Learn more

The sum of the radius of the base and height of solid cylinder is 37 cm . If the total surface area of the cylinder is 1628 m2, Find the volume of the cylinder ?

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