How do I simplify the expression
1 answer:
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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.