Question

The volume of a cylinder is 150cm3 and its height is 6cm. Find the T.S.A of the

cylinder.​

Answer 1

GIVEN :

Volume of cylinder = 150 cm³

Height = 6cm

TO FIND :

Radius (since need to calculate the T.S.A)

T.S.A of the cylinder

FORMULA :

T.S.A Of a cylinder = 2πr(h+r)

Volume of the cylinder = πr²h

SOLUTION :

Volume = πr²h

150 cm³ = 22/7×r² × 6cm

r² = 25cm²

r = 5cm

Now,

T.S.A = 2πr(h+r)

= 2×22/7×5(6+5)

= 220/7×11

= 345.71 cm²

Answer 2

$\blue{\mathfrak{\underline{\large{Given}}}:} \\ volume\: of \: a \: cylinder=150 \: {cm}^{3} \\ height \: of \: cylinder = 6 \: cm \\ \blue{\mathfrak{\underline{\large{To \: find}}}:} \\ T.S.A \: of \: the \: cylinder \\ \blue{\mathfrak{\underline{\large{Finding}}}:} \\ volume \: of \: cylinder = 150 \: {cm}^{3} \\ \pi {r}^{2} h = 150 \\ \frac{22}{7} \times {r}^{2} \times 6 = 150 \\ {r}^{2} = \frac{150 \times 7}{22 \times 6} = \frac{175}{22} \\ r = \sqrt{ \frac{175}{22} } = \sqrt{7.95} \\ r = 2.81 \: cm \\ Total \: surface \: area(T.S.A) \\ =2\pi r(h + r) \\ = 2 \times 3.14 \times 2.81(6 + 2.81) \\ = 17.6468 \times 8.81 \\ = 155.468308 \\ ≈156 \: {cm}^{2} \\ \\ \red{\mathfrak{\underline{\large{Hope \: It \: Helps \: You }}}} \\ \blue{\mathfrak{\underline{\large{Mark \: Me \: Brainliest}}}}$