Question

The total surface area of a solid cylinder is 462 sq.cm.It's curved surface area is one third of its total surface area,then find the volume of the cylinder.

Answer 1

Answer:

Step-by-step explanation:

Curved surface area = total surface area / 3.

Curved surface area = 462/3 = 154.

Rest of area = 462 - 154 = 308.

2πr^2 = 308.

r^2 = 308 x 7 / 44 = 49.

r = 7.

2πrh = 154.

h = 154 / 2 x 22 = 7/2.

Volume = πr^2 h = (22/7) x (7^2) x (7/2) = 539

Answer 2

$\huge{\mathfrak{\red{Answer}}}$

Curved surface area = total surface area / 3.

Curved surface area = 462/3 = 154.

Rest of area = 462 - 154 = 308.

$\longrightarrow$2πr^2 = 308.

$\longrightarrow$r^2 = 308 x 7 / 44 = 49.

$\longrightarrow$r = 7.

2πrh = 154.

h = 154 / 2 x 22 = 7/2.

$\longrightarrow$Volume = πr^2 h = (22/7) x (7^2) x (7/2) = 539.

$\rm Volume = 539 cm^3$