State True(1) or False(0).

The capacity of a cylindrical vessel with a hemispherical portion raised upward at the bottom as shown in the Fig. 12.7 is
$π \frac{r^{2}}{3} (3 h - 2 r)$

Open in App

Solution

Volume of cylinder -volume of hemisphere $= π r^{2} h - \frac{2}{3} π r^{3}$
$= π \frac{r^{2}}{3} (3 h - 2 r) c m^{3}$

Suggest Corrections

Similar questions

Q. Question 6
Write ‘True’ or ‘False’ and justify your answer in the following
The capacity of a cylindrical vessel with a hemispherical portion raised upward at the bottom as shown in the figure is

\frac{π r^{2}}{3} [3 h - 2 r]

Q. Question 6
Write ‘True’ or ‘False’ and justify your answer in the following
The capacity of a cylindrical vessel with a hemispherical portion raised upward at the bottom as shown in the figure is

\frac{π r^{2}}{3} [3 h - 2 r]

Q. The capacity of a cylindrical vessel with a hemispherical portion raised upward at the bottom as shown in the following figure is ________.

A juice seller was serving his customers using glasses as shown in Fig. The inner diameter of the cylindrical glass was 5 cm, but the bottom of the glass had a hemispherical raised portion which reduced the capacity of the glass. If the height of a glass was 10 cm, find the apparent capacity of the glass and its actual capacity. (Use $π = 3.14$ ). [3 MARKS]

Q. The inner diameter of a glass is 7 cm and it has a raised portion in the bottom in the shape of a hemisphere, as shown in the
figure. If the height of the glass is 16 cm, find the apparent capacity and the actual capacity of the glass.

Join BYJU'S Learning Program

State True(1) or False(0).The capacity of a cylindrical vessel with a hemispherical portion raised upward at the bottom as shown in the Fig. 12.7 is πr23(3h−2r)

Volume of cylinder -volume of hemisphere=πr2h−23πr3=πr23(3h−2r)cm3

State True(1) or False(0).

The capacity of a cylindrical vessel with a hemispherical portion raised upward at the bottom as shown in the Fig. 12.7 is
$π \frac{r^{2}}{3} (3 h - 2 r)$

Volume of cylinder -volume of hemisphere $= π r^{2} h - \frac{2}{3} π r^{3}$
$= π \frac{r^{2}}{3} (3 h - 2 r) c m^{3}$