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A cuboid of length 56 cm ,breadth 49 cm and height 11 cm. It is melted and convert into marble spherical glass. Find how many such conical marble glass can make by cuboid and also find how much money is needed if one spherical marble glass cost Rs. 25 and radius of conical marble glass is 7 cm.

A cuboid of length 56 cm ,breadth 49 cm and height 11 cm. It is melted and convert into marble spherical glass. Find how many such conical marble glass can make by cuboid and also find how much money is needed if one spherical marble glass cost Rs. 25 and radius of conical marble glass is 7 cm. Correct Answer Rs. 525

Given:

Length of cuboid = 56 cm

Breadth of cuboid = 49 cm

Height of cuboid = 11 cm

One marble glass cost = Rs. 25

Formula used:

Volume of a cuboid = length × breadth × height

Volume of a sphere = (4/3) π × r3

Calculation:

Volume of a cuboid = 56 × 49 × 11

⇒ 30184 cm3

Volume of a sphere = (4/3) × (22/7) × (7)3

⇒ 4312/3 cm2

Let, n number of conical marbles glass made

⇒ n = (volume of cuboid / volume of one marble)

⇒ n = (30184/ 4312/3)

⇒ n = 21 marbles

One marble price = Rs. 25

So, 21 marbles price = Rs. 525

∴ Price of 21 marbles is Rs. 525

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