Question

find the height of a cyclinder TSA 660 cm square and radius = 5 cm

Answer 1

total surface of area =2πr(r+h)
660cm2. =2π5(5+h)
660cm2=10π(5+h)
660x7/22x10=5+h
21c.m. =5+h
21-5 = h
16. =h

height of a cyclinder. = 16 ans.......

Answer 2

SOLUTION :

The Total Surface Area (TSA) of a cylinder = 660 cm sq.        (given)

The radius of the cylinder = 5 cm        (given)

To be found :-

The height of the cylinder

We know that,

Formula for finding the Total Surface Area (TSA) of a cylinder = 2πr(r+h) unit sq.

[ ∴ In which r is the radius and h is the height of the cylinder ]

⇒ 660 = 2πr(r+h)

⇒ 660  = 2 × $\frac{22}{7}$ × 5 × (5+ h)       [ radius = 5 cm (given) ]

⇒ 660 = $\frac{220}{7}$ × h × (5+ h)

⇒ 660 × $\frac{7}{220}$ = (5+ h)   [ transporting  $\frac{220}{7}$ to LHS ]

⇒ 21 = 5+ h

⇒ 21 - 5 = h

⇒ 16 = h

∴ height (h) of the cylinder is 16 cm