The volume of a right circular cone is 9856 cm cube. If the diameter of the base is 28 cm, find CSA of the cone.
(Pi=22/7)
Answers
Answer:
Step-by-step explanation: Volume of a right circular cone= 9856cm3
Diameter of the base= 28cm
Then,
Radius= 28/2 = 14cm
Find : CSA of cone
Solve:
Vol. Of cone = 1/3πr2h
9856 = 1/3x22/7x196xh
9856= 1/3x22x28xh
9856= 616/3xh
9856 x 3/616 = h
16 x 3 = h
48 = h
Also,
Find slant height,
l = √r2 + h2
l = √(14)2 + (48)2
l = √ 196 + 2304
l = √2500
l = 50cm
CSA of cone = πrl
=22/7 x 14 x 50
=22 x 2 x 50
=44 x 50
=2200cm2
Solved.
Answer:
Step-by-step explanation: Volume of a right circular cone= 9856cm3
Diameter of the base= 28cm
Then,
Radius= 28/2 = 14cm
Find : CSA of cone
Solve:
Vol. Of cone = 1/3πr2h
9856 = 1/3x22/7x196xh
9856= 1/3x22x28xh
9856= 616/3xh
9856 x 3/616 = h
16 x 3 = h
48 = h
Also,
Find slant height,
l = √r2 + h2
l = √(14)2 + (48)2
l = √ 196 + 2304
l = √2500
l = 50cm
CSA of cone = πrl
=22/7 x 14 x 50
=22 x 2 x 50
=44 x 50
=2200cm2
Solved.