Question

Can someone please solve the fifth one....

Answer 1

${\huge {\mathfrak {\pink {Answer :-}}}}$

$<i>$ We have,

Curved surface area

= 1/3 * 462

= 154

Now, we can conclude that,

The area of anyone circle is

= (462-154)/2

= 154

Now, by condition,

=> 22/7 * r^2 = 154

=> r^2 = 7 * 7

=> r = 7.

Now, curved surface area of the cylinder is 154.

So, 22/7 * 2 * 7 * h = 154

=> 2h = 154/22

=> h = 7/2

Thus, volume of the cylinder

= 22/7 * 7 * 7 * 7/2

= 22/2 * 49

= 11 * 49

= 539

➡️ Hence, volume of the cylinder is 539 cu.cm.

$<b>$ REGARDS, ARNAB ✌️

THANK YOU

Answer 2

Answer:

Step-by-step explanation:

We have Total Surface Area of cylinder

= 2πr( h + r ) or 2πrh + 2πr²

2πrh + 2πr² = 462 cm² _(i)

Where,

Curved Surface Area = ⅓ Total Surface Area

2πrh = ⅓ × 462 cm²

2πrh = 154 cm²

Substituting value of 2πrh in eq (i),

154 cm² + 2πr² = 462 cm²

2πr² = 462 - 154 cm² = 308 cm²

r² = 308/2π

r² = 308 × 1/2 × 7/22 cm²

r² = 28 × 1/2 × 7/2 cm²

r = √49 cm² = 7 cm

Substituting value of r in 2πrh

2πrh = 154 cm²

h = 154/2πr

h = 154 × 1/2 × 7/22 × 1/7 cm

h = 7/2 cm

Volume of cylinder = πr²h

= 22/7 × 7² × 7/2 cm³

= 539 cm³

I hope you will understand

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