Question

The volume of a cylinder is 150∧cu.cm and its height is 6 cm. Find the areas of its total surface and lateral curved surface

Answer 1

Step-by-step explanation:

Volume of Cylinder = πr×rh

150π = πrrh

150 = r×r×6

√25 =r

5 = r

total surface area of cylinder = 2πr(h+r)

= 2×3.14×5(6+5) = 110×3.14

= 345.4 cm sq.

curved surface area of cylinder =2πrh

= 2×π×5×6 = 60×3.14

= 188.4 cm sq.

.... Hope you are understand

Answer 2

✬ TSA = 345.71 cm² ✬

✬ LSA = 188.57 cm² ✬

Step-by-step explanation:

Given:

• Volume of cylinder is 150π cm³.
• Height of cylinder is 6 cm.

To Find:

• What is its TSA and LSA ?

Solution: Let Radius of cylinder be r cm.

As we know that

★ Vol. of Cylinder = πr²h ★

A/q

• Volume is 150π cm³
• Height is 6 cm.

$\implies{\rm }$ 150π = πr²h

$\implies{\rm }$ 150π/π = r²(6)

$\implies{\rm }$ 150/6 = r²

$\implies{\rm }$ 25 = r²

$\implies{\rm }$ √25 = r

$\implies{\rm }$ 5 = r

So, the radius of cylinder is 5 cm.

Now,

★ TSA = 2πr(h + r) ★

➽ TSA = 2(22/7)(5)(6 + 5)

➽ 44/7(5)(11)

➽ 44/7(55)

➽ 345.71 cm²

★ LSA = 2πrh ★

➽ LSA = 2(22/7)(5)(6)

➽ 44/7(30)

➽ 1320/7

➽ 188.57 cm²