# ICSE Class 10 Answered

**a metal container is in the form of cylinder is surmounted by hemisphere of the same radius .the internal height of the cylinder is 7m and internal radius of the cylinder is 3.5m .calculate the total surface area of the internal surface excluding the base and find the internal volume of the container in m3**

Asked by eswarandevi375 | 19 Nov, 2023, 03:06: PM

Expert Answer

Figure shows the container which is a cylinder surmounted by a hemisphere .

Let d = 3.5 m be the internal diameter of cylinder and h = 7.0 m be the height of cylinder .

Inner surface area S

_{1}of cylindrical part of container = ( π d h ) + (π/4) d^{2}= π d [ h + ( d^{2}/ 4 ) ]( First term of above expression for curved surface area and second term for bottom surface area )

Inner surface area s

_{2}of hemispherical part of container = 2π (d/2)^{2 }= π (d^{2}/ 2 )Total inner surface area = S

_{1}+ S_{2}= (110.6 + 19.2 ) m^{2}= 129.8 m^{2}-----------------------------------------------------

Inner volume V

_{1}of cylindrical part of container = (π/4) d^{2}hInner volume V

_{2}of hemispherical part of container = (2/3)π (d/2)^{3}= (1/12) π d^{3}Total Inner volume = V

_{1}+ V_{2}= 78.57 m^{3}
Answered by Thiyagarajan K | 19 Nov, 2023, 04:30: PM

## Application Videos

## Concept Videos

ICSE 10 - Maths

Asked by eswarandevi375 | 19 Nov, 2023, 03:06: PM

ANSWERED BY EXPERT

ICSE 10 - Maths

Asked by jaiswalsindhuli717 | 20 Oct, 2018, 01:57: PM

ANSWERED BY EXPERT