Question

A solid is in the shape of a cone surmounted on a hemisphere. The radius of each of them begin 3.5cm and the total height of the solid is 9.5cm. Find the volume of the solid

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Answer 1

Step-by-step explanation:

r of hemisphere = r of cone = 3.5 CM

h of hemisphere = r of Hemisphere = 3.5 CM

so, h of cylinder = 9.5 - 3.5

= 6 CM

volume of solid = volume of cone + volume of hemisphere

= 1/3πr²h+2/3πr³

= 1/3(22/7)(3.5)²(6)+2/3(22/7)(3.5)³

=1617/21+1886.5/21

= 3503.5 /21

= 166. 8 cm³

Answer 2

Answer:

$Radius =3.5cm \\ \\ ∴ \rm height \: of \: the \: cone \\ \\h=9.5−3.5=6cm \\ \\ ∴ \rm vol \: of \: cone + vol \: of \: hemisphere \\ \\ =\dfrac{1}{3}πR^2h+\dfrac{2}{3}πR^3 \\ \\ =\dfrac{1}{3}π×(3.5)^2×6+\dfrac{2}{3}π×(3.5)^3 \\ \\ =\dfrac{1}{3}×=\dfrac{22}{7}×(3.5)^2(13) \\ \\ \boxed{ \sf \blue{=166.83cm^3}}$