Step-by-step explanation:
Volume of a cylinder is:
V = πr²h
V = (3.14) (4 in)² (5 in)
V = 251.2 in³
Volume of a cone is:
V = ⅓ πr²h
V = ⅓ (3.14) (4 in)² (15 in)
V = 251.2 in³
The volumes are equal.
Answer:
he circle has a radius of π inches, so use a radius of about 3.1 inches.
Step-by-step explanation:
The circumference of a circle can be described as the linear distance round the circle
The circumference of a circle = 2nr
n = 3.14
r = radius
the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.
A radius is half of the diameter
diameter = 2r
If diameter = n2
diameter = 3.14 x 2 = 6.28
Radius = 1/2 x diameter = 6.28/2 = 3.1
Answer: 1/6
Step-by-step explanation:
Since Sam has to memorize 1/2 of his lines and he memorizes 1/3 of his lines today, the fractions of his lines that he has left to memorize will be gotten by subtracting 1/3 from 1/2. This will be:
= 1/2 - 1/3
= 3/6 - 2/6
= 1/6
Therefore, he has 1/6 of his lines left to memorize.
which means there is some integer
for which
.
Because
and
, there are integers
such that
and
, and
We have
, which means there are four possible choices of
:
1, 42
2, 21
3, 14
6, 7
which is to say there are also four corresponding choices for
:
9, 378
18, 189
27, 126
54, 63
whose sums are:
387
207
153
117
So the least possible value of
is 117.
