21. Broooooo, This is baby stuff!
Draw a diagram to illustrate the problem as shown below.
Calculate the volume of the empty cone.
V₁ = (1/3)π*(6 in)²*(10 in) = 120π in³
Calculate the volume of the sphere.
V₂ = (4/3)π*(1.5 in)³ = 4.5π in³
The volume that can be filled with flavored ice is
V = V₁ - V₂ = 115.5π in³ = 362.85 in³
Answer:
The volume is 115.5π in³ or 362.9 in³ (nearest tenth)
Answer:
n=7
Step-by-step explanation:
difference means subtraction so:
8n - 21= 35
8n=35+21
8n= 56
n= 56÷8
n=7
Answer:
Exponential form: 5^3
Expanded form: 5*5*5
Standard form: 125
Step-by-step explanation:
The exponential form is when we use the ^ symbol. The base is the number before the ^ and the exponent is the number after the ^. When five is cubed, the base is 5 and the exponent is 3.
Therefore, the exponential form is 5^3. We can also write it with a little 3 on the top right corner of the 5, that is
.
On the expanded form we use multiplications. The exponent number tells us how many times to multiply the base number by itself. When 5 is the base and 3 the exponent, we have to multiply 3 times the number 5 by itself. That is 5*5*5.
The standard form is the result of the calculations we wrote before. The easiest way is to get it from the expanded form.
5*5*5 = 25*5 = 125
Answer:
6.025 as a mixed number is 6 1/40