Question

a solid is in the form of acylinder with hemispherical ends. the totalheight of the solid is 19cm and the diameter of the cylinder is 7cm. find the volume and surface area of the solid

Answer 1

Diameter of the cylinder = 7 cm

Therefore, Radius of the cylinder

Total height of the solid = 19 cm

Therefore, Height of the cylindrical portion= 19 - 7

= 12 cm

(1 mark)

Therefore,

Volume of the solid = Volume of the cylindrical portion + Volume of the two hemispherical ends

= Total surface area of the solid = Curved surface area of the cylinder + Curved surface area of two hemispherical ends

= 22 19

= 418 cm²

hope this helps