Question

surface area of a tunnel is 550m square. the tunnel is a 25 m long cylinder .find the diameter of the tunnel.​

Answer 1

Answer:

3.5m

Step-by-step explanation:

area=550m square

h=25m

area=2πrh

550=2*22/7*25*r

550*7=1100*r

3850=1100*r

r=3850/1100

r=3.5

Answer 2

$\huge\mathbb{\underline{SOLUTION:-}}$

$\bf{Given:-}\begin{cases}\sf{Surface\:area=550m{}^{2}}\\ \sf{height=25m}\end{cases}$

• we have to find the diameter

• first find the radius of cylinder

• You given that the surface area of cylinder you did not mention it's total surface area or curve surface area but by any method we found the same value of radius

• we found radius by putting the formula of curve surface area

$\bf\underline{\underline{\red{According\:to\: Question:-}}}$

$\boxed{\sf{C.S.A\:of\: cylinder=2\pi r h}}$

$\sf 550=2\times \frac{22}{7}\times r\times 25\\ \\ \sf\implies 550\times 7=44\times 25r\\ \\ \sf\implies 3850=1100r \\ \\ \sf\implies \cancel{\frac{3850}{1100}}=r\\ \\ \sf\implies radius =3.5$

• Radius of cylinder is 3.5m

• Diameter =2 r
• => 3.5×2
• => 7m

$\boxed{\sf{\purple{Diameter\:of\: cylinder=7m}}}$

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