Answer:
n = 9.14 ≈ 10 cones ( if integer is required )
Step-by-step explanation:
Given:
- The dimensions of the cylinder "missing from this question" are:
Radius r_1 = 8 in , Height h_1= 3 in
- The dimensions of faucet are :
Radius r_2 = 3 in , Height h_2 = 7 in
Find:
- How many cone shaped like containers are required to fill the cylinder.
Solution:
- We will denote the letter 'n' as the number of cone shaped containers.
- For n amount of cone shaped containers is to fill the container the volume of water of n container should equal the volume of water in cylinder. This can be expressed as follows:
n*V_cone = V_cylinder
- Where,
V_cone = ( 1 / 3 ) * pi * r^2 _2 * h_2
V_cylinder = pi*r^2_1*h_1
- Hence,
n = V_cylinder/ V_cone
Plug in values:
n = (3*r^2_1 *h_1 )/ r^2_2 *h_2
n = ( 3 * 8^2 * 3 ) / ( 3^2 * 7)
n = 576 / 63 = 9.14 cones
Answer: n = 10 cones
