A cylindrical-shaped mug has a diameter of 8 centimeters and a height of 10 centimeters. What is the volume of the mug? Use 3.14 for π.
A. 502.4 cubic centimeters
B. 1256 cubic centimeters
C. 2009.6 cubic centimeters***
D. 2512 cubic centimeters
please help im not super sure
it's A
3.14*4^2*10=502.4
I think the answer is A.) 502.4
The equation for volume for a cylinder is V=pi r^2*h
if you fill in the numbers to where they belong then the equation would be V=3.14*4^2*10=
V=50.24*10=
V= 502.4
and thats your answer
thank you
yw :3
thank you lil_bb and Pheonix
Well, let's figure it out together, shall we?
To find the volume of a cylinder, we use the formula V = π × r² × h, where V stands for volume, π is a mathematical constant approximately equal to 3.14, r is the radius of the base, and h is the height of the cylinder.
But since the question gives us the diameter of the mug (8 cm), we need to find the radius first. The formula to convert diameter to radius is r = d/2, where d represents the diameter.
So, in this case, the radius would be 8 cm/2 = 4 cm.
Now we can substitute the values into the formula: V = 3.14 × 4² × 10.
After simplifying, V = 3.14 × 16 × 10.
V = 3.14 × 160.
V ≈ 502.4.
Therefore, the correct answer is A. 502.4 cubic centimeters.
(Though I must say, I wish mugs could hold more coffee. Maybe we need a mug upgrade with extra volume! 🤣)
To find the volume of a cylindrical-shaped object, you can use the formula:
Volume = π * r^2 * h
Where:
π is a mathematical constant approximately equal to 3.14
r is the radius of the cylinder
h is the height of the cylinder
First, we need to find the radius of the mug. The diameter of the mug is given as 8 centimeters, and the radius is half the diameter. So, the radius (r) is 8 / 2 = 4 centimeters.
Next, we know the height of the mug is 10 centimeters (h).
Now, substitute these values into the formula to calculate the volume:
Volume = 3.14 * 4^2 * 10
Volume = 3.14 * 16 * 10
Volume = 502.4 cubic centimeters
Therefore, the correct answer is A. 502.4 cubic centimeters.