Question

Find the volume of water in a solid bottle in the form of cylindrical bottom and conical top. The cylinder is of radius 2.1 cm and height 14 cm . The height of the cone is 9 cm.

• A. $230.62{\text{cm}}^3$
• B. $200.62{\text{cm}}^3$
• C. $235.62{\text{cm}}^3$
• D. $135.62{\text{cm}}^3$

Answer 1

The correct option is C $235.62{\text{cm}}^3$

Given,
Solid combination: Cylinder + Cone
Radius of cone and cylinder, $r=2.1\text{cm}$
Height of cone, $h=9\text{cm}$
Height of cylinder, $H=14\text{cm}$

Volume of bottle
= volume of cone + volume of cylinder
$=\frac{1}{3}\pi r^{2}h+\pi r^{2}H=\pi r^2(\frac{1}{3}h+H)=\frac{22}{7}\times 2.1\times 2.1(\frac{1}{3}\times 9+14)=13.86\times 17=235.62{\text{cm}}^3$

Volume of water bottle is $235.62{\text{cm}}^3$