Answer:
300 units^3 or 96π
Step-by-step explanation:
Volume of the cone would be:
Because the formula of finding the volume of cone is
V = πr^2 * h/3
r is the radius of the base
h is the height of the cone
π is Pi, approximately 3.142 and it is the circumference of any circle divided by its diameter
V is volume
So in this case:
V = πr^2 * h/3
V = π * 6^2 * 8/3
V = π * 36 * 8/3
V = 96π or 301.44 and round it up to 300 units^3
Hope this help :3
Answer:
Option 3
Step-by-step explanation:
Using the order of operations, you will find out that 7 x 10^3 = 7,000, and 3 x 10^2 = 300. Dividing 7,000 by 300 will get you 23.333~, so 300 does go into 7,000 a little more than 20 times.
Answer:
Consider f: N → N defined by f(0)=0 and f(n)=n-1 for all n>0.
Step-by-step explanation:
First we will prove that f is surjective. Let y∈N be any natural number. Define x as the number x=y+1. Then x∈N, and f(x)=x-1=(y+1)-1=y. We conclude that f is surjective.
However, f is not injective. Take x1=0 and x2=1. Then x1≠x2 but f(x1)=0 and f(x2)=x2-1=1-1=0. We have shown that there are two natural numbers x1,x2 such that x1≠x2 but f(x1)=f(x2), that is, f is not injective.
Note:
If 0∉N in your definition of natural numbers, the same reasoning works with the function f: N → N defined by f(1)=1 and f(n)=n-1 for all n>1. The only difference is that you consider x1=1, x2=2 for the injectivity.
Step-by-step explanation:
where is the screenshot?