Question

please answer this question ​

Answer 1

$\sf \Large Solution!!$

We are given with the inner diameter of glass. We can find out the radius of the glass. Height of the glass is also given. We can easily find out the volume of the cylindrical glass. Radius of the cylindrical glass will be equal to the radius of the hemisphere. We can then find out the volume of the hemisphere too. The apparent capacity of the cylindrical glass is obviously equal to the volume of cylindrical glass. We can find out the actual capacity by subtracting volume of the hemisphere from the volume of the cylindrical glass. Now, let's find out!!

$\sf \to$ Diameter = 7 cm

$\sf \to$ Radius = 7/2 = 3.5 cm

$\sf \to$ Height = 16 cm

$\sf \to$ Volume of the cylindrical glass = πr²h

$\sf \to$ Volume of the glass = $\sf \dfrac{22}{7}\times 3.5\times 3.5\times 16$

$\sf \to$ Volume of the glass = 616 cm³

$\sf \to$ Radius of hemisphere = 3.5 cm

$\sf \to$ Volume of hemisphere = $\sf \dfrac{2}{3}\pi r^{3}$

$\sf \to$ Volume of hemisphere = $\sf \dfrac{2}{3}\times \dfrac{22}{7}\times (3.5)^{3}$

$\sf \to$ Volume of hemisphere = 89.83 cm³

$\sf \bigstar \blue{Apparent\:capacity\:of\:the\: cylindrical\:glass=616\:cm^{3}}$

$\sf \to$ Actual capacity of the glass = Volume of cylinder - Volume of hemisphere

$\sf \to$ Actual capacity of the glass = 616 cm³ - 89.83 cm³

$\sf \bigstar \blue{Actual\: capacity\:of\:glass=526.17\:cm^{3}}$

Formulae to remember:

Volume of cylinder = πr²h

Volume of hemisphere = $\sf \dfrac{2}{3}\pi r^{3}$

Answer 2

this is your answer

hope it's help you