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A Solid is Composed of a Cylinder with Hemispherical Ends. If the Whole Length of the Solid is 104 Cm and the Radius of Each Hemispherical End is 7 Cm, Find the Surface Area of the Solid. - Mathematics

Sum

A solid is composed of a cylinder with hemispherical ends. If the whole length of the solid is 104 cm and the radius of each hemispherical end is 7 cm, find the surface area of the solid.

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Solution

Radius of the hemispherical end = 7 cm

Height of the hemispherical end = 7 cm

Height of the cylindrical part`=(104 - 2 × 7) "cm" = 90 "cm"`  

Surface area of the solid = 2(curved surface area of the hemisphere) + (curved surface area of the cylinder) 

= [2(2πr2) + 2πrh] 

= 2πr (2r + h)

`=2xx22/7xx7xx[(2xx7)+90] "cm"^2`

= (44 × 104) cm2

= 4567 cm22

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APPEARS IN

RS Aggarwal Secondary School Class 10 Maths
Chapter 19 Volume and Surface Area of Solids
Formative Assessment | Q 16 | Page 938
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