Answer:
See example below.
Step-by-step explanation:
The image of a triangle will be 5/6 the size. It will be slightly smaller than the original. For example, if the side measurement of the triangle on one side is 12 then the image of the triangle after a dilation will be 12*5/6 = 60/6 = 10.
The new side length is 10 slightly smaller than 12.
Answer:
r = 2.5
Step-by-step explanation:
the area of the whole circle =
*π * 24
A = πr² = (13π*24)/50
r = √((13*24)/50) = 2.5 inches
To calculate the volume of this figure, we just have to find the volume of the hemisphere and the volume of the cone, then sum them up.
The volume of a hemisphere (the half of a sphere) is given by the formula:

Where r is the radius.
The volume of a cone is given by the formula:

Where h is the height of the cone.
From the figure we have:
r = 5.3in
h = 9 in
Then, when we substitute these values into the above formulas, we get:
For the hemisphere:

The volume of the hemisphere is 311.6in^3
For the cone:

As mentioned, the volume of the whole figure is the sum of the volume of the cone and the volume of the hemisphere, then, the volume of the figure is:
V=311.6in^3 + 264.7in^3 = 576.3in^3
Then, the correct answer is option A