Question

5.A medicine has to be served to 100 patients in a hospital in a hemispherical bowl.
How much liquid will be used in all if the radius of the bowl is 3.5cm? Also find the
curved surface area of the bowl.
​

Answer 1

Step-by-step explanation:

liquid used in all = volume of the hemispherical bowl

= (2/3)πr³ = (2/3)π×3.5³ = 89.79 cm³

for 100 patients, 89.79×100 = 8979 cm³ of medicine

C.S.A of the bowl = area of hemisphere = 2πr²

= 2×π×3.5²

= 76.96 cm²

Answer 2

Answer:

the conversion is 1mm³ = 1ml

Since it is an hemispherical bowl , the volume will be half of a sphere ,

==> 1/2(4/3)(πR³) .

R = 3.5 cm. and on substituting , Volume = 88.85 cm³

1cm³ = 1000mm³

===> 88850 mm³ ===> 88850ml

Now surface area of a sphere == > 4πR²

For a hemisphere ==> 2 π R²

on substituting , surface area = 76.93 cm²