Answer:
(294π +448) cm³ ≈ 1371.6 cm³
Step-by-step explanation:
The half-cylinder at the right end has a radius of 7 cm, as does the one on top. Together, the total length of these half-cylinders is 8 cm + 4cm = 12 cm. That is equivalent in volume to a whole cylinder of radius 7 cm that is 6 cm long.
The cylinder volume is ...
V = πr²h = π(7 cm)²(6 cm) = 294π cm³
__
The cuboid underlying the top half-cylinder has dimensions 4 cm by 8 cm by 14 cm (twice the radius). So, its volume is ...
V = LWH = (4 cm)(8 cm)(14 cm) = 448 cm³
Then the total volume of the composite figure is ...
(294π +448) cm³ ≈ 1371.6 cm³
Answer:
B = -.5
Step-by-step explanation:
If B is negative is cancels out the prexisting negative making it positive.
Definitely Graph C.
The dots are aligned correctly to the line better than the other graphs.
Step-by-step explanation:
Area of circle= Πr²
Πr² = 132² m
r²=132²/Π m
=5546.23m
r =√5546.23
=74.473 m
If we observe closely the given, we can note that the
terms given are perfect cubes. That is,
<span> x^3 is
cube of x and</span>
<span> 343 is
cube of 7</span>
Hence, the expression is the sum of two cubes. For the
sum of cubes, we follow the following rule for the factoring:
<span> a^3 + b^3 = (a +
b)(a^2 – ab + b^2)</span>
Applying the rule to the given, the factors would be:
<span> X^3 + 373 = (x +
7)(x^2 – 7x + 49)</span>