Question

the total surface area of a solid right circular cylinder is 1540 CM square if its height is 4 times the radius of the base then find the height of the cylinder ​

Answer 1

Answer:

h=28cm

Step-by-step explanation:

h=4r---- given

$1540=2\pi r(h+r)\\\\\\1540=2*\frac{22}{7} * \frac{h}{4} (h+\frac{h}{4}) \\\\1540 =\frac{11h}{7}*\frac{5h}{4} \\\\\frac{1540*7*4}{11*5} =h^{2} \\\\\frac{8624}{11} = h^{2}$

h=$\sqrt{784}$

=28cm