Identify and explain the error in the given work. Then solve correctly.
1 answer:
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The volume of the composite figure is the third option 385.17 cubic centimeters.
Step-by-step explanation:
Step 1:
The composite figure consists of a cone and a half-sphere on top.
We will have to calculate the volumes of the cone and the half-sphere separately and then add them to obtain the total volume.
Step 2:
The volume of a cone is determined by multiplying with π, the square of the radius (r²) and height (h). Here we substitute π as 3.1415.
The radius is 4 cm and the height is 15 cm.
The volume of the cone :
cubic cm.
Step 3:
The area of a half-sphere is half of a full sphere.
The volume of a sphere is given by multiplying with π and the cube of the radius (r³).
Here the radius is 4 cm. We take π as 3.1415.
The volume of a full sphere cubic cm.
The volume of the half-sphere cubic cm.
Step 4:
The total volume = The volume of the cone + The volume of the half sphere,
The total volume cub cm. This is closest to the third option 385.17 cubic centimeters.
The radius of the container is 2 centimeter
<h3><u>Solution:</u></h3>Given that a container of candy is shaped like a cylinder
Given that volume = 125.6 cubic centimeters
Height of conatiner = 10 centimeter
To find: radius of the container
We can use volume of cylinder formula and obatin the radius value
<em><u>The volume of cylinder is given as:</u></em>
Where "r" is the radius of cylinder
"h" is the height of cylinder and is constant has value 3.14
Substituting the values in formula, we get
Taking square root on both sides,
Thus the radius of the container is 2 centimeter