Question

A solid cylinder has Total Surface Area is 462cm^2. its Curved Surface Area is One third of its Total Surface Area. Find radius,height,and Volume of this cylinder​

Answer 1

Answer:

r=7,h=3.5,v=539 cm^3

Step-by-step explanation:

$2\pi r^2+2\pi rh=462$

$2\pi r(r+h)=462$

$2\pi rh=1/3*462\\2\pi rh=154$          (equating in above equation)

$2\pi r^2+154=462\\2\pi r^2=308\\\pi r^2=308/2=154\\r^2=49\\r=7$