Question

a solid cylinder has total surface area 462 sq cm its curved surface area is one third of total surface area find volume of cylinder ​

Answer 1

Answer:

Step-by-step explanation:

Tsa=462=2 pie r(r+h)

CSA=462/3=154=2 pie r h

TSA/CSA = r+h/h=462/154

r+h/h=3

r+h=3h

r=2h

Volume=pie*r *r* h

Pie* 2h *2h *h

Pie *4h^3=volume

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.

$\rm Volume = 539 cm^3$