the adjacent figure shows a solid consisting of a right circular cylinder with a hemisphere at one end and a cone at the other their common radius is 7cm .the height of the cylinder and cone are each of 4cm .find the volume of solid About the author Eloise
2258.7 cm Step-by-step explanation: Given = radius of cone, cylinder, hemisphere = 7 cm the hight of cone, cylinder = 4 cm Now the volume of cone = 1/3πr^2h = 1/3 * 22/7 * 7 * 7 * 4 = 1/3 * 22 * 7 * 4 = 616/3 Now the volume of cylinder = πr^2h = 22/7 * 7 * 7 * 4 = 22 * 7 * 4 = 616 Now the volume of hemisphere = 4/3πr^3 = 4/3 * 22/7 * 7 * 7 * 7 = 4/3 * 22 * 7 * 7 = 4312/3 Now, according to the question, they all are joined from their end points = 616/3 + 616 + 4312/3 = 616 + 1848 + 4312/3 = 6776/3 = 2258.7 cm Reply
2258.7 cm
Step-by-step explanation:
Given = radius of cone, cylinder, hemisphere = 7 cm
the hight of cone, cylinder = 4 cm
Now the volume of cone = 1/3πr^2h
= 1/3 * 22/7 * 7 * 7 * 4
= 1/3 * 22 * 7 * 4
= 616/3
Now the volume of cylinder = πr^2h
= 22/7 * 7 * 7 * 4
= 22 * 7 * 4
= 616
Now the volume of hemisphere = 4/3πr^3
= 4/3 * 22/7 * 7 * 7 * 7
= 4/3 * 22 * 7 * 7
= 4312/3
Now, according to the question, they all are joined from their end points
= 616/3 + 616 + 4312/3
= 616 + 1848 + 4312/3
= 6776/3
= 2258.7 cm