Answer:
See attachment
Step-by-step explanation:
We want to graph the line with slope
and y-intercept ,
The equation of this line is
Starting at -7 on the y-axis, we run 5 units and rise 2 units right.
Then draw a line through the y intercept and the new point
The graph is shown in the attachment.
Given:
A diagram of a composite figure.
Radius of cone and hemisphere is 8 cm.
Height of the cone is 15 cm.
To find:
The volume and the surface area of the composite figure.
Solution:
Volume of a cone is:
Where, r is the radius and h is the height of the cone.
Putting in the above formula, we get
Volume of the hemisphere is:
Where, r is the radius.
Putting , we get
Now, the volume of the composite figure is:
The volume of the composite figure is 661.3π cm³.
The curved surface area of a cone is:
Where, r is the radius and h is the height of the cone.
Putting in the above formula, we get
The curved surface area of the hemisphere is:
Where, r is the radius.
Putting , we get
Total surface area of the composite figure is:
The total surface area of the composite figure is 264π cm².
Therefore, the correct option is A.