Answer:
The approximate height is 8.9 cm
Step-by-step explanation:
To find the height of a cone with a diameter of 10 cm and a volume of 225 cubic centimeter, we will follow the steps below;
first, write down the formula for finding the volume of a cone
v=πr²
where v is the volume of the cone
r is the radius and h is the height of the cone
from the question given,
diameter = 10 cm but d=2r this implies that r=
r= 10/2 = 5cm
hence r= 5cm
Also v= 225 cm³
π is a constant and is ≈ 3.14
We can now proceed to insert the values into formula and then solve for h
v=πr²
225 ≈ 3.14 × 5² × 
225 ≈ 78.5 ×
225 ≈ 
cross-multiply
675 = 75.8 h
divide both-side of the equation by 75.8
8.9 ≈ h
h≈ 8.9
Therefore, the approximate height is 8.9 cm
The sum of the arithmetic sequence given by
<span>an = 0.05(n – 1) – 0.6
will be given by:
a1=0.05(1-1)-0.6=-0.6
a2=0.05(2-1)-0.6=-0.55
a3=0.05(3-1)-0.6=-0.5
a4=0.05(4-1)-0.6=-0.45
a5=0.05(5-1)-0.6=-0.4
thus the summation will be:
-0.6+(-0.55)+(-0.5)+(-0.45)+(-0.4)
=-2.5
hence
S5=-2.5</span>
Answer:
b/a
27= b
3= a
I used a and b since it's algebraic
Answer:
The mileage of the car is 30 miles per gallon
Step-by-step explanation:
Here, we are interested in calculating the gas mileage of the car.
The gas mileage refers to the number of kilometers the car can travel on a particular amount of fuel.
The full capacity of the car tank is 15 gallon
Now after traveling 300 miles, it stops for gas and 10 gallons of fuel are added to make the car full again.
What this means is that the car used up a total of 10 gallons of fuel for the 300 miles
Thus, the gas mileage of the car is that it used 10 gallons to travel a total of 300 miles
Expressing this as a ratio, we have 300 miles/10 gallons = 30 miles/ gallon
This means that on a gallon of fuel, the car can travel 30 miles
Answer:
if she runs more than 8 laps and each lap is 7 minutes she will run more than 56 minutes
she will run 56 minutes t