The
<u>correct answers</u> are:
1/6πd³;
3; and
9 cm.
Explanation:
For the <u>first question</u>:
The formula for the volume of a sphere is:

We have the diameter, not the radius. The diameter is twice as much as the radius; this means to find the radius using the diameter, we divide by 2. This gives us:

When we raise a fraction to a power, we raise both the numerator and the denominator to that power. This gives us:

We start multiplying this:

For the <u>second question</u>:
The planes of symmetry are the planes through which we can fold the figure in half. These are in the middle horizontally through the figure; in the middle vertically (through the width) through the figure; and in the middle vertically (through the length) through the figure. This makes 3.
For the <u>third question</u>:
The formula for the volume of a triangular prism is:

,
where b is the base of the triangular base of the pyramid, h is the height of the triangular base of the pyramid, and H is the height of the pyramid.
We know the volume is 90; the base of the triangle is 12 and the height is 5:

We divide both sides by 10:
90/10 = 10H/10
9 = H
the pie cut into 8 pieces
Answer:
you multiply 0.45kg by 87kg you will get 39lb
Answer: D- 97.4
Step-by-step explanation:
For the scale factor of 1:3. Use ratio and proportion to solve for the area of the triangle.
area of triangle RST/ area of triangle XYZ = (1/3)^2
where
area of traianlge RST = 10.825 inch^2
Area of triangle XYZ= Area of triangle RST x (3)^2
Substitute the given values=97.4 inch^2