The radius of a cylinder is 10.5cm,what could the height be if the total surface area is 13.20cm?
area = 2pi*r(r+h)
so, plug in your numbers and solve for h
SA = 2πr^2 + 2πrh
2π(10.5^2) + 2π(10.5)h = 13.20
solve for h
oops, as soon as I calculated I could see that this question is bogus
The area of the two circles alone are already appr 692 cm^2
Check your question. Assuming you are including the circles in finding the area.
If not, then just set 2πrh = 13.2
To find the height of the cylinder, we need to use the formula for the total surface area of a cylinder. The formula is:
Surface Area = 2πr² + 2πrh
Given that the radius (r) is 10.5 cm and the total surface area is 13.20 cm², we can substitute these values into the formula and solve for the height (h).
13.20 cm² = 2π(10.5 cm)² + 2π(10.5 cm)(h)
To solve for h, we need to isolate it on one side of the equation. Let's simplify the equation step by step:
13.20 cm² = 2π(10.5 cm)² + 21π cm·h
13.20 cm² - 2π(10.5 cm)² = 21π cm·h
Next, we can calculate the constant values:
13.20 cm² - 2π(10.5 cm)² ≈ 13.20 cm² - 2π(110.25 cm²) ≈ 13.20 cm² - 693 cm² ≈ -679.8 cm²
Substitute this value back into the equation:
-679.8 cm² = 21π cm·h
Next, isolate h by dividing both sides of the equation by 21π:
-679.8 cm² / (21π cm) ≈ -10.29 cm ≈ h
Since height cannot be negative, we can disregard the negative value and conclude that the height of the cylinder is approximately 10.29 cm.