Step-by-step explanation:
It's the equation of a line.
We need only two points to the plotting a graph of a line.
y = -x - 3
for x = -3
y = -(-3) - 3 = 3 - 3 = 0 → (-3, 0)
for x = 0
y = -0 - 3 = 0 - 3 = -3 → (0, -3)
We have been given that the volume of a cone is 113.04 cubic mm. We are asked to find the approximate volume of a sphere that has the same height and a circular base with the same diameter.
We know that volume of cone is
.
The height is equal to the diameter. We know that diameter is 2 times radius, so we can represent this information in an equation as:

Upon substituting
in volume of cone, we will get:


We know that volume of sphere is
.
Upon comparing volume of cone with volume of sphere, we can see that volume of sphere is 2 times the volume of cone.

Since
, so volume of sphere would be:


Therefore, volume of sphere would be 226.08 cubic mm.
Answer:
good job.
Step-by-step explanation:
Answer:
21 cm by 21 cm
Step-by-step explanation:
The formula for the area of a square is A = x^2, where x is the length of any one side of the square. Here,
441 cm² = x²
This actually has two roots: {√441, -√441), but since x must be positive here, to be a dimension of the square, we choose +√441, or +21.
The dimensions of the square are 21 cm by 21 cm.