Question

the curved surface area of a cylinder is 1320 cm^2 and it's volume is 2640 cm^3 find it's height

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Given,

• The curved surface area of a cylinder = 1320 cm²
• The volume of the cylinder = 2640 cm³

To find,

• We have to find the height.

Solution,

We can simply find the height of the cylinder by using the given conditions.

  As we know,

     The curved surface area of cylinder = 2πrh     (*)

      The volume of the cylinder = πr²h                        (**)

Using (*),  we get

       1320 = 2 * π * r* h      (1)

Using (**), we get

    2640 = π * r² * h        (2)

Dividing (2) by (1), we get

   2640/1320 = π * r² * h/ 2 * π * r* h

               2     = r/2

              2*2   = r

            4 cm = r

Substituting the value of r= 4 cm in (*),  we get

         1320 = 2 * 22/7 * 4 * h

1320 * 7 / 22 * 8 = h

                  105/2 = h

               52.5 cm = h

Hence, the curved surface area of a cylinder is 1320 cm² and its volume is 2640 cm³ then the height of the cylinder is 52.5 cm.