Answer:
It's 1cm less than the 3cm cone i hope this help you goodluck ;)
Step-by-step explanation:
The required value of f is 2/3.
For soap of cone shape height = 1 cm radius = 3cm
For soap of sphere shape diameter= 3 cm
Volume of soap with sphere shape = π/f +volume of soap of cone shape
The value of f is to be determined.
Volume is defined as the ratio of the mass of an object to its density.
The volume of the cone = 1/3πr²h
= 1/3 x π x 3² x 1
= 3π
The volume of sphere = 4/3πr³
= 4/3 x π x (3/2)³
= 9/2π
Volume of soap with sphere shape = π/f +volumeof soap of cone shape
9/2π = π/f + 3π
π/f = 9/2π - 3π
1/f = 3/2
f = 2/3
Thus, the required value of f is 2/3.
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The question seems to be incomplete. A complete question could be-
A soap company changes the design of its soap from a cone to a sphere. The cone had a height of 1 cm and a radius of 3 cm. The sphere has a diameter of 3cm. The new design contains π/f centimeters more soap than the old design. What is the value of f?
