A toy is in the form of cone mounted on a hemisphere with the some radius.the diameter of the conical portion is 6cm and it's height is 4cm determine the surface area and volume of the solid
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The toy is in form of a cone above a hemisphere
The surface area of the toy would be equal to
Curved surface area of cone + curved surface area of hemisphere
= πrl + 2πr²
height of cone = 4 cm
diameter of cone = 6cm
radius = 3 cm
slant height = √4² +3² =√25 = 5 cm
Total surface area of toy would be
π * 3* 5 + 2π * 3 * 3 = 33π cm² = 103.62 cm²
Volume of the toy would be equal to
volume of hemisphere + volume of cone
= 2/3 * πr³ + 1/3 * πr² h
= 2/3 * π * 3³ + 1/3 * π * 3² * 4
= 18π + 12 π
= 30 π cm³ = 94.2 cm³
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