Question

Akshay took a right circular cylinder having base diameter 12 cm and height 15 cm and filled it completely with ice cream .he then went to a slum area and distributed the ice cream filled in cones of height 12 cm and diameter 6 cm each having a hemispherical shape on the top to the needy children. find the number of children who will get ice cream in these cones

Answer 1

hi pls mark as brainlest

Answer 2

Answer:

the number of ice cream cones distributed = 10

Step-by-step explanation:

Dimensions of right circular cylinder :

Diameter (D) = 12 cm

Radius (R) = D/2 =12/2 = 6cm

Height(H) =15 cm

Dimensions of a cone:

Diameter (d) = 6 cm,

Radius (r) = 6/2 = 3 cm,

Height(h)= 12 cm,

Dimensions of a hemisphere:

Radius (r) = 3 cm

Let the number of ice cream cones distributed = n

$n =\frac{Volume \: cylinder}{volume\:of \:(cone+hemisphere)}$

$=\frac{\pi R^{2} H}{\frac{1}{3} \pi r^{2}h+\frac{2}{3} \pi r^{3}}$

$=\frac{\pi R^{2}H}{\frac{1}{3} \pi r^{2}(h+2r)}$

$=\frac{3R^{2}H}{r^{2}(h+2r)}$

$=\frac{3\times 6^{2}\times 15}{3^{2}(12+2\times 3)}$

$=\frac{3\times 6\times 6\times 15}{3\times 3 \times 18}$

$=10$

Therefore,

The number of ice cream cones distributed = n = 10

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