Question

an undergroundoiltank has a surface area of 2915 square metre and a radius of 6M what is the height of the oil tank

Answer 1

Answer:

71.29 m

Step-by-step explanation:

$\text{TSA of tank = 2915 m}^2\\\\\text{Radius = 6 m}\\\\\text{Let the height be h}\\\\\text{Then, TSA = 2} \pi r h + 2 \pi r^2 = 2 \pi r (r+h)\\\\= \dfrac{264}{7} \times (6 + h)\\\\\\\text{ATQ,}\\\\\dfrac{264}{7} \times (6 + h) = 2915\\\\\\\implies 6 + h = 2915 \times \dfrac{7}{264} = 77.29\\\\\\\implies h = 77.29 - 6 = \boxed{71.29 \: m}$