Question

The sum of the height and the radius of the base is 34cm and TSA is 2992cm. Find the radius
of the base of the cylinder
​

Answer 1

Step-by-step explanation:

Given

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