A solid is in the form of a right circular cylinder with hemispherical ends. The total
height of the solid is 58cm and the diameter of the cylinder is 28cm. Find the total
Surface Area
Answers
Answer:
Step-by-step explanation:
Given :
Total height of solid= 58 cm
Diameter of Cylinder= 28 cm
Radius of Cylinder = radius of hemisphere= 28/2= 14 cm
Radius of Cylinder & hemisphere (r)= 14 cm
Height of hemisphere= radius of hemisphere= 14cm
Height of 2 hemisphere= 2× 14= 28cm
Height of Cylinder= Total height of solid - Height of 2 hemisphere
Height of Cylinder(h)= 58 - 28 = 30 cm
Total surface area of the solid= surface area of cylinder + surface area of two hemispheres
Total surface area of the solid= 2πrh + 2(2πr²)
Total surface area of the solid=2πrh + 4πr²
Total surface area of the solid= 2πr(h+2r)
Total surface area of the solid= 2×(22/7)×14(30+2×14)
= 2× 22×2(30+28)
= 88 × 58
Total surface area of the solid= 5104 m²
Hence, Total surface area of the solid= 5104 m².