The height of cylinder is 7.02 inches
Step-by-step explanation:
Given
Area of circular base = A = 150 in^2
First of all we have to find the radius of circular base
[tex]A = \pi r^2\\150 = \frac{22}{7} * r^2\\r^2 = 150 * \frac{7}{22}\\r^2 = 47.727\\[/tex]
Taking square root on both sides
[tex]\sqrt{r^2} = \sqrt{47.727}\\r = 6.9\ inches[/tex]
Now,
V = 1050 in^3
[tex]V = \pi r^2h\\1050 = 3.14 * (6.9)^2*h\\1050 = 3.14*47.61*h\\1050 = 149.4954h\\h=\frac{1050}{149.4954}\\h = 7.02\ inches[/tex]
The height of cylinder is 7.02 inches
Keywords: Volume, area
Learn more about volume at:
- brainly.com/question/6431715
- brainly.com/question/629998
#LearnwithBrainly
