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A Vessel is a Hollow Cylinder Fitted with a Hemispherical Bottom of the Same Base. the Depth of the Cylinder is `14/3` M and the Diameter of Hemisphere is 3.5 M. Calculate the Volume and the Internal Surface Area of the Solid. - Mathematics

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Question

A vessel is a hollow cylinder fitted with a hemispherical bottom of the same base. The depth of the cylinder is `14/3`  m and the diameter of hemisphere is 3.5 m. Calculate the volume and the internal surface area of the solid.

Solution

Given that:

Radius of the same base `r=3.5/2=1.75 m`

Height of the cylinder `h=14/3m`

The volume of the vessel is given by

`V=pir^2h+2/3pir^3`

`=3.14xx1.75^2xx14/3+2/3xx3.14xx1.75^3`

= 56 m3

The internal surface area of the solid is

`S=2pir^2+2pirh`

`=2xx3.14xx1.75^2+2xx3.14xx1.75xx14/3`

= 70.51 m2

Hence, the volume of the vessel and internal surface area of the solid is V = 56 m3, S= 70.51 m2

  Is there an error in this question or solution?

APPEARS IN

 RD Sharma Solution for Class 10 Maths (2018 (Latest))
Chapter 14: Surface Areas and Volumes
Ex. 14.2 | Q: 13 | Page no. 61

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Solution A Vessel is a Hollow Cylinder Fitted with a Hemispherical Bottom of the Same Base. the Depth of the Cylinder is `14/3` M and the Diameter of Hemisphere is 3.5 M. Calculate the Volume and the Internal Surface Area of the Solid. Concept: Surface Areas and Volumes Examples and Solutions.
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