Math, asked by BrainlyHelper, 1 year ago

A solid is in the form of a cylinder with hemispherical ends. Total height of the solid is 19 cm and the diameter of the cylinder is 7 cm. Find the volume and total surface area of the solid.

Answers

Answered by nikitasingh79
61

Answer:

Total surface area of the solid is 418 cm² and Volume of solid is 641.67 cm³

Step-by-step explanation:

SOLUTION :

Given :

Total height of solid= 19 cm

Diameter of Cylinder and hemisphere = 7 cm

Radius of Cylinder = radius of hemisphere= 7/2= 3.5 cm

Height of hemisphere = radius of hemisphere = 7/2 cm

Height of 2 hemisphere = 2× 7/2= 7 cm

Height of Cylinder= Total height of solid - Height of 2 hemisphere

Height of Cylinder(h) = 19 - 7 = 12 cm

Volume of solid,V = Volume of Cylinder Volume of  two hemispheres

V = πr²h + 2 × 2/3πr³

V = πr²h + 4/3πr³

V = πr²(h + 4/3 r)

V = 22/7 × 7/2 × 7/2 (12 + 4/3 × 7/2)

V = 77/2 (12 + 14/3)

V = 77/2 [(36+14)/3]

V = 77/2 [50/3)

V = (77 × 25)/3

V = 1925/3 = 641.67

V = 641.67 cm³

Volume of solid = 641.67 cm³

Total surface area of the solid = surface area of cylinder + surface area of two hemispheres

= 2πrh + 2(2πr²)

= 2πrh + 4πr²

= 2πr(h+2r)

= 2×(22/7)×7/2 (12 + 2 × 7/2)

= 22 (12 + 7)

= 22 × 19  

= 418 cm²

Total surface area of the solid = 418 cm²

Hence, Total surface area of the solid is 418 cm² and Volume of solid is 641.67 cm³.

HOPE THIS ANSWER WILL HELP YOU….

Answered by srg21122
6

Answer:

TSA OF SOLID =418 cm2

VOLUME OF SOLID =641.67

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