Question
A solid metallic sphere of radius 15 cm is melted and
recast into spherical balls of radius 3 cm each. What is the ratio of the surface area of the original sphere and the sum of the surface areas of all the balls?Solution
Let the number of the smaller sphere be 'x' Volume of the bigger sphere = x × (volume of the smaller sphere) (4/3)π 15^3 = x × (4/3)π 3^3 x = 125 So their are total 125 smaller spheres Now, The surface area of the larger sphere = 4π 15 ⇒ 900π Surface area of smaller sphere = 4π 3^2 ⇒ 36π Total surface area of 125 smaller spheres = 125 × 36π ⇒ 4500π Surface area of the bigger sphere : Surface area of all smaller spheres = 900π : 4500π ⇒ 1 : 5
What is the obligation of a person who has received advantage under void agreement, or contract that becomes void as per section 65 of the Contract Act?
Coal mines shall be allocated by way of
What are the various ground on the basis of which RBI may cancel a licence granted to a banking company?
Which of the following Articles in the Constitution deals with the applicability of habeas corpus?
According to the Central Vigilance Commission Act if a Central Vigilance Commissioner or a Vigilance Commissioner is receiving retirement benefits from ...
According to the Insurance Act section 27 the term assets means________________
Under the Information technology Act, 2000, what is the use of the Public Key?
What does the term "gender" refer to in the context of the definition provided?
Which of the following statement in respect of section 320 of the Code of Criminal Procedure, 1973, is not correct?
What is dacoity?
