Subject: General Aptitude · Chapter: Volume and Surface Area · Exam: · Marks: · Difficulty:
A cylindrical container of radius 6 cm and height 15 cm is filled with ice-cream. The whole ice-cream has to be distributed to 10 children in equal cones with hemispherical tops. If the height of the conical portion is four times the radius of its base, then find the radius of the ice-cream cone. (M.A.T., 2007) 774
Answer
Answer (as printed):
Explanation
Volume of ice-cream in cylindrical container = (p × 62 × 1 Let the radius of the base of the cone be r cm. Then, height of the cone = (4r) cm. Volume of ice-cream in 10 cones with hemispherical tops = 10 540 π \ 20 pr3 = 540p ⇒ r3 = = 27 ⇒ r = 3. 20 π Hence, radius of ice-cream cone = 3 cm QUANTITATIVE APTITUDE 5) cm3 = (540p) cm3. 1 2 { 2 3 3 3 3 πr × 4r + πr cm = (20 πr ) cm . 3 3 }
Explanation as extracted from the printed page; notation may be imperfect.