Question

a solid cylinder has total surface area of 462 CM square its curved surface area is one third of the total surface area find the volume of cylinder

Answer 1

Answer:

539cm^3

Step-by-step explanation:

TSA=462cm^2

2πrh+2πr^2=462cm^2---------(1)

CSA=1/3×TSA

2πrh=1/3×462

2πrh=154cm^2------------(2)

154+2πr^2=462

2πr^2=308cm^2

r=7cm

Substitute r=7 in (2)

h=3.5cm

Volume=πr^2h cu.units

=539cm^3

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.

$\rm Volume = 539 cm^3$