i.
To find the volume of large and small cone.
i.
Answer to Problem 20E
The volume of larger cone is 20.93 inch3and volume of smaller cone is 0.17 inch3
Explanation of Solution
Given Information:
The diameter of larger cone is 4 inch and height is 5 inch. The diameter of smaller cone is 0.8 inch and height is 1 inch.
Formula Used:
Calculation:
For larger cone,
Diameter (d) of the cone is 0.8 inch,
Hence, radius (r) of cone is 0.4 inch
Substituting values of radius and height
Hence, volume of larger cone is,
20.93 inch3 ----------------(1)
For smaller cone,
Diameter (d) of the cone is 0.8 inch,
Hence, radius (r) of cone is 0.4 inch
Substituting values of radius and height
Hence, volume of larger cone is,
0.17 inch3. __________(2)
ii.
To find the difference between the volumes of the larger and smaller cone
ii.
Answer to Problem 20E
The difference between the cones is 20.86 inch3
Explanation of Solution
Given Information:
The volume of larger cone is 20.93 inch3 and the volume of smaller cone is 0.17 inch3.
Calculation:
The difference between volumes of cone the cones is= volume of larger cone (1) - volume of smaller cone(2)
Substituting the values of larger cone and smaller cone,
= 20.93-0.17
= 20.86 inch3----------------------(3)
Conclusion:
The difference in volume of cones is 20.86 inch3
iii.
The volume of the cylinder
iii.
Answer to Problem 20E
The volume of the cylinder is 0.75 inch3
Explanation of Solution
Given Information:
The height of cylinder is 1.5 inch and diameter is 0.8 inch
Formula Used:Volume of cylinder is,
Calculation:
Diameter (d) of the cone is 0.8 inch,
Hence, radius (r) of cone is 0.4 inch
Substituting values of radius and height:
Hence, the volume of cylinder is:
0.75 inch3 --------------(4)
Conclusion:
The volume of cylinder is 0.75 inch3
iv.
TO-DETERMINE the volume of the funnel
iv.
Answer to Problem 20E
The volume of funnel is 21.61 inch3
Explanation of Solution
Given Information: The volume of the cylinder of the cone is 0.75 inch3and the volume difference between the cones is 20.86 inch3
Calculation:
The volume of funnel is = volume of cylinder (4) + volume difference between the cones (3)
Hence, volume of funnel is,
Conclusion:
Volume of the funnel is 21.61 inch3
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