Question

A toy is in the form of a cone of radius 3.5cm mounted on a hemisphere of same radius the total height of the toy is 15.5cm find the total volume of the toy

Answer 1

Answer:

91.875π

Step-by-step explanation:

h=15.5

r=3.5

volume of toy =volume of cone+volume of hemisphere

=1/3πr^2h+2/3πr^3

=1/3πr^2(h+2r)

=1/3π(3.5)^2(15.5+2×3.5)

=1/3π×12.25(15.5+7)

=1/3π×12.25(22.5)

=1/3π×275.625

=275.625π/3

=91.875π

Answer 2

Given :

• h = 15.5
• r = 3.5

To find :

• The volume of the toy.

We know that,

➡️ Volume of toy:

volume of cone + volume of hemisphere

= ⅓ πr²h+2/3πr³

= ⅓πr²(h+2r)

= ⅓π(3.5)²(15.5+2×3.5)

= ⅓π×12.25(15.5+7)

= ⅓π×12.25(22.5)

= ⅓π×275.625

= 275.625π/3

= 91.875π

= 288.75cm²