CBSE Class 9 Answered
A cylindrical container of radius 8cm and height 35cm is filled with icecream.The whole icecream is distributed among 15 children in equal cones with hemisperical tops.If the height of the conical portion is five times the radius of its base, then the radius of the icecream cone is
A)3cm
B)4cm
C)5cm
D)6cm
Asked by adalroshan2464 | 17 Nov, 2018, 06:23: PM
Expert Answer
Volume of the ice cream in cylinderical container = π R2 H = π×64×35 ...................(1)
where R and H are respectively radius and height of cylinder
volume of the ice cream given in cone with hemisphere top is shown in figure.
Let r be the radius of cone as shown in figure and its height is 5 times of radius r.
if the icecream of the volume given in eqn.(1) is to be distributed for 15 children, then we have
π×64×35 = 15×[ (1/3)π×5r3 + (2/3)π×r3 ] ..................(2)
Solving eqn.(2) for radius r, we get r = 4 cm
Answered by Thiyagarajan K | 18 Nov, 2018, 01:59: AM
Application Videos
-
Algebraic Identities: Quadratic
This video contains a question which is solved using square of binomials -
Factorisation using Square identity
This video explains factorisation using square identity -
Appilcations based problem on Linear Equation in two va ...
This video explains how to form a linear equation using given statements an... -
Application based problem on a Circle -1 ...
This video contains a problem based on the concept of Circle and its Applic... -
Application based problem on a Circle -2 ...
This video contains a question based on the concept of Circle and its Appli...
Concept Videos
-
Rational Numbers ...
Recall the concept of number line and discuss its importance in day to day... -
Irrational Numbers
This video explains how to differentiate between rational and irrational nu... -
Real Numbers
This video covers the definition of real numbers, difference between the ra... -
Laws of Exponents
This video explains the statement of the laws of exponents and simplify exp... -
Introduction to Polynomials
This video explains the definition of polynomial and related terms, identif...
CBSE 9 - Maths
Asked by monika.vns14 | 18 Apr, 2024, 05:15: PM
ANSWERED BY EXPERTCBSE 9 - Maths
Asked by gulshanelectronics2017 | 15 Apr, 2024, 05:35: PM
ANSWERED BY EXPERTCBSE 9 - Maths
Asked by tripura78839 | 12 Apr, 2024, 09:05: PM
ANSWERED BY EXPERTCBSE 9 - Maths
Asked by singhanjali0199 | 12 Apr, 2024, 08:29: PM
ANSWERED BY EXPERTCBSE 9 - Maths
Asked by killerstealer593 | 11 Apr, 2024, 07:50: PM
ANSWERED BY EXPERTCBSE 9 - Maths
Asked by saee.shinde3069 | 31 Mar, 2024, 10:12: PM
ANSWERED BY EXPERTCBSE 9 - Maths
Asked by rathoreraj7296 | 31 Mar, 2024, 08:09: PM
ANSWERED BY EXPERTCBSE 9 - Maths
Asked by divyanshibirla037 | 29 Mar, 2024, 03:26: PM
ANSWERED BY EXPERT
