Answer:

Step-by-step explanation:
We are given that the diameter of the sand-shaped cone is 14 inches, and the height is 15 inches.
The volume for a cone is given by:

Where r is the radius and h is the height.
Since the diameter is 14, the radius is 7.
And we are given that the height is 15.
Therefore, the volume will be:

Use a calculator:

The volume of the cone is approximately 769.7 cubic inches.
Answer:
k = 2
Step-by-step explanation:
-8k + 6 = -10k + 10
-8k = -10k +4
2k = +4
2k / 2 = 4 / 2
k = 2
Answer:
The formula for the volume of a pyramid is one third of the length times the width times the height.
Step-by-step explanation:
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The coordinates of the rectangle are (-3,-1), (1,3), (3,1) and (-1,-3).
Draw the given rectangle as shown in the figure below.
Calculate the length of the rectangle as
a = √(4² + 4²) = 4√2
Calculate the width of the rectangle as
b = √(2² + (-2)²) = 2√2
Calculate the area of the rectangle as
A = a*b = (4√2) * (2√2) = 16
Answer: 16