A drinking glass of height 24 cm is in the shape of frustum of a cone and diameters of its bottom an...........

Quantitative Aptitude (CDS) Mensuration 3D

A drinking glass of height 24 cm is in the shape of frustum of a cone and diameters of its bottom and top circular ends are 4 cm and 18 cm respectively. If we take capacity of the glass as $\pi$ x cm³ , then what is the value of x?

824

1236

1628

2472

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Explanation:

Given, height (h) = 24 cm
Radius of bottom circle (r)=18/2=9cm
Also, given capacity of glass
i.e. volume of glass is in shape of frustum be $\pi$ x ……. (i)
As, volume of frustum= $\pi$ h/3[r²+R²+rR]
= $\pi$ *24/3[2²+9²+2*9]
= $\pi$ *824 ....................................................................(ii)
After comparing (i) and (ii), we get
x=824