The diameter and height of a cylinder are same. If the curved surface area of the cylinder is 616 cm2, then find the radius of the base of the cylinder?


The volume of a cylinder is 1232 cm2 and the circumference of its base is 44 cm. If it is open at one end, then what
is its surface area?


Answer both in 1 thread. because i can't ask again n again. thanking you in advance.

Dear Student,

the answer to the second question is-


vol. of a cylinder =

Therefore,
1232 = pi r^2 h

the circumference is a circle
Therefore,
44 = 2 pi r
44 =2 ×22/7 × r
Therefore, r =44 ×7/22× 2

Therefore, r= 7.

Therefore,

1232 = 22/7 × 7 ×7 ×h.
Therefore, h = 1232 /22 × 7
Therefore, h = 8.

Now, the cylinder is open at one end.
Therefore, the surface area of cylinder =

Therefore,S.A = 2× 22/7 × 7× 8 + 22/7 × 49.

Therefore, the total surface area of the cylinder = 406 cm^2


Regards,
Peony Roy.