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Glass Vase You are taking a glass-blowing class and have created a vase in the shape of a sphere. The vase will have a hole in the top so you can put flowers in it and it will sit on a stand. The radius of your vase is 21/2 inches. Use the formula V=4/3:r^3 to write an expression for the volume of your vase.
:= pi sign
I got 4850in^3
Yes, your answer is correct. :)
(I thought at first the radius is 2 and 1/2, not 21/2, but I guess that's too small) :3
THANKS
No problem Stella
To find the expression for the volume of your vase, you have correctly identified the formula V=4/3:r^3. However, there seems to be a mistake in your answer.
The correct expression for the volume of your vase using the given formula is:
V = (4/3)πr^3
Where:
V represents the volume of the vase,
r represents the radius of the vase,
In your case, the radius is given as 21/2 inches. To simplify the expression, you can use the approximation π = 3.14.
Substituting the values into the expression, we get:
V = (4/3)(3.14)(21/2)^3
Now, let's simplify this expression step by step:
V = (4/3)(3.14)(441/8)
V = (4 * 3.14 * 441) / (3 * 8)
V = 1746.36 in^3
Therefore, the correct volume of your vase would be approximately 1746.36 cubic inches.