In ▵PQR, PR is extended through point R to point S, m
1 answer:
Answer:
x = 10
Step-by-step explanation:
Here, we are tasked with calculating the value of x.
To do this, we need the picture of the wordings given in the question.
please check the attachment for a pictorial representation.
Now the theorem to use is that , the exterior angle of a triangle is equals the sum of the two opposite interior angle.
Thus, mathematically;
3x + 11 + 3x + 15 = 10x -14
6x + 26 = 10x -14
10x-6x = 26 + 14
4x = 40
x = 40/4
x = 10
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Answer:
The correct answer is the expression of the volume of the sphere is ×π×
and the expression of the volume of the leftover space is π×
×16 -
×π×
.
Step-by-step explanation:
Height of the given cylindrical can = 16 cms.
Diameter of the given cylindrical can = 16 cms.
Now a spherical ball just fits in this given cylindrical can. Thus the diameter of the ball is equal to the diameter of the can, equal to 16 cms.
Thus the expression of the volume of ball = ×π×
=
×π×
Expression of the volume of the cylindrical can is π×× h = π×
×16
Expression of the leftover volume would be volume of can minus volume of the ball = π××16 -
×π×
.