Question

the sum of the radius of the base and height of a solid right circular cylinder is 37 CM if the total surface area of the solid cylinder is 1628 CM square find the volume of the cylinder​

Answer 1

Let 'h' be height & 'r' be radius of

base of cylinder .

then

r+h=37 cm ...(1)

and TSA of cylinder = 1628cm

2

----(2)

we know TSA & cylinder = 2πr(h+r)

1628=2πr(37)

r =

2π×37

1628

r =

37π

814

=7.00

form equation (1) r+h=37

h=30 cm.

now

volume cylinder =πr

2

h

=3.14×49×30

volume of cylinder 46150.8cm

2