Hey did i get this right?
Find the volume of this perfume bottle.
h= 12.4 cm
r^2=6.2 cm
MY ANSWER:
V=1/3 x pi r^2 x h
V= 1/3 x pi3.1^2 x 12.4
V= 1/3 x 9.61 pi x 12.4
V= 1/3 x 119.164 pi
V= 39.72/3 pi
V= 41.5736cm3
please help!
if r^2 = 6.2, why did you say in line 2 that r^2 = 3.1^2 ?
Do you mean that the diameter was 6.2?
If the bottle is shaped like a cone, then your calculations look good until the next-to-last line, when you divided by 3 an extra time.
It should have been just 39.72 pi = 124.788
I watched a video about it, I guess I just gotten confused a bit. But thank you! :)
To find the volume of the perfume bottle, you correctly used the formula for the volume of a cone:
V = (1/3) x π x r^2 x h
However, there seems to be a mistake in your calculations. Let's go through the calculation again:
Given:
h = 12.4 cm
r^2 = 6.2 cm
V = (1/3) x π x (6.2)^2 x 12.4
V = (1/3) x π x 38.44 x 12.4
V = (1/3) x π x 477.856
V = (1/3) x 1502.448
V = 500.816 cm^3
So, the correct volume of the perfume bottle is 500.816 cm^3, not 41.5736 cm^3.
To find the volume of a perfume bottle, you can use the formula for the volume of a cone, since perfume bottles often have a conical shape. The formula for the volume of a cone is V = (1/3)πr²h, where r is the radius of the base of the cone and h is the height of the cone.
In your case, you have provided the values for h (12.4 cm) and r^2 (6.2 cm). To find the radius (r), you need to take the square root of r^2, which is 6.2 cm. So, r = √6.2 ≈ 2.49 cm.
Now you can substitute the values into the formula:
V = (1/3)π(2.49 cm)²(12.4 cm)
V = (1/3)π(6.2001 cm²)(12.4 cm)
V ≈ 79.887 cm³
Therefore, the correct answer is approximately 79.887 cm³, not 41.5736 cm³ as you calculated.