Answer:
The volume of foam needed to fill the box is approximately 2926.1 cubic inches.
Step-by-step explanation:
To calculate the amount of foaming that is needed to fill the rest of the box we first need to calculate the volume of the box and the volume of the ball. Since the box is cubic it's volume is given by the formula below, while the formula for the basketball, a sphere, is also shown.
Vcube = a³
Vsphere = (4*pi*r³)/3
Where a is the side of the box and r is the radius of the box. The radius is half of the diameter. Applying the data from the problem to the expressions, we have:
Vcube = 15³ = 3375 cubic inches
Vsphere = (4*pi*(9.5/2)³)/3 = 448.921
The volume of foam there is needed to complete the box is the subtraction between the two volumes above:
Vfoam = Vcube - Vsphere = 3375 - 448.921 = 2926.079 cubic inches
The volume of foam needed to fill the box is approximately 2926.1 cubic inches.
Answer:
Here is the question attached with.
is a straight line.
is a right angled triangle.
Options 
are correct answers.
Step-by-step explanation:
⇒As 
is ⊥
so it will forms right angled triangle then 
.
⇒Measure of 
as 
as 
is the bisector of 
,meaning that is half of so 
.
⇒ is a straight line as the angles measure over it is 
.
⇒Measure of 
from linear pair concept.
As 
,plugging the values of we have .
The other two options are false as:
it is exceeding whereas is a
straight line.
- And
is not true.
As 
and 
So we have total 
answers.
The correct options are .
Answer:
Step-by-step explanation:
Given
Required
Determine the formula
First, we need to solve common difference (d)
Take n as 2
Represent each function as a sum of the previous
Represent the function as 
Reorder
