Answer:
30 yards per minute.
Step-by-step explanation:
Unit rate is basically when the denominator is 1. In this case, 450 is divisible by 15, so if you divide that, you get 30.
X=2.5
Step-by-step explanation:
0.5=1/2
5/2 = 2.5
Answer:
92.64 cm^3 (it should be smaller if using actual pi, 22/7 is larger than pi)
Step-by-step explanation:
The equation for the volume of a cone is 1/3(pi*h*r^2) So, first we need to find the radius, which is diameter over 2, so the radius is 3.5 cm. Now we know all of the variables so we can plug in to solve.
Interesting that only integrals along the
-axis are suggested when integrating along the
-axis would be much simpler... Anyway, you have to split the interval of integration into two. The "height" of the region is not uniform over the entire interval.
When
, we have
. When
, we have
. Then the area we want is given by

which seems to agree with the last option.
Answer:
Therefore the volume of the box is 13824 in³
Step-by-step explanation:
Given:
A spherical ball with is packaged in a box that is in the shape of a cube.
Volume of ball = 2304π in³.
Let 'r' be the radius of sphere
To Find:
Volume of Cube = ?
Solution:
Volume of sphere is given by

Substituting the values we get

Now we know that diameter is given by

it is given that,
The edge length of the box is equal to the diameter of the ball.
Therefore the length of cube = 24 in
Now the volume of the cube is given by

substituting the values we get

Therefore the volume of the box is 13824 in³