the height and slant height of a right circular cone are 20 cm and 25 cm respectively if a cylinder has a same volume of the cone and height of thr cylinder is 25 cm then calculate the diameter of cylinder. answer is 20 cm plzz reply
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The cone has radius 15 cm the ht, slant height and radius make a pythagorian triple 15,20,25 (five times the size of a 345 right triangle)
Thus the volume of this cone is (1/3) Base area * ht so (1/3)*Pi*(15^2)*20 = 1500Pi
Cylinder has volume Base area * ht = pi*(r^2)*15 if this is equal to the cone then
1500Pi = 15(r^2)Pi
So r^2=100
r=10cm
Answer:
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sanyalritaja
Secondary SchoolMath 5+3 pts
The height and slant height of a right circular cone are 20 cm and 25 cm respectively if a cylinder has a same volume of the cone and height of thr cylinder is 25 cm then calculate the diameter of cylinder. answer is 20 cm plzz reply
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sanyalritaja
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richa311
Richa311 Ambitious
The wording of this question is such that I assume the cylinder has ht 15 cm so quickly is what radius of cylinder of ht 15cm has Sam volume of circular based cone of height 20cm and slant heigh 25cm.
The cone has radius 15 cm the ht, slant height and radius make a pythagorian triple 15,20,25 (five times the size of a 345 right triangle)
Thus the volume of this cone is (1/3) Base area * ht so (1/3)*Pi*(15^2)*20 = 1500Pi
Cylinder has volume Base area * ht = pi*(r^2)*15 if this is equal to the cone then
1500Pi = 15(r^2)Pi
So r^2=100
r=10cm