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Vesna [10]
3 years ago
7

The volume of a sphere is 36π in³. What is the radius of the sphere?

Mathematics
2 answers:
Inessa05 [86]3 years ago
7 0
36pi = 4/3 * pi * r^3
27 = r^3
r = 3 in
vlada-n [284]3 years ago
3 0
The equation for volume of a sphere is (4/3)πr^3, and you want to solve for r, so:
(4/3)πr^3 = 36π
÷ 4/3
πr^3 = 27π
÷ π
r^3 = 27
(cube root)
r = 3

So the radius is 3, I hope this helps!
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An explosion causes debris to rise vertically with an initial speed of 120 feet per second. The formula h equals negative 16 t s
Novay_Z [31]

Answer:

The debris will be at a height of 56 ft when time is <u>0.5 s and 7 s.</u>

Step-by-step explanation:

Given:

Initial speed of debris is, s=120\ ft/s

The height 'h' of the debris above the ground is given as:

h(t)=-16t^2+120t

As per question, h(t)=56\ ft. Therefore,

56=-16t^2+120t

Rewriting the above equation into a standard quadratic equation and solving for 't', we get:

-16t^2+120t-56=0\\\textrm{Dividing by -8 throughout, we get}\\\frac{-16}{-8}t^2+\frac{120}{-8}t-\frac{56}{-8}=0\\2t^2-15t+7=0

Using quadratic formula to solve for 't', we get:

t=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\t=\frac{-(-15)\pm \sqrt{(-15)^2-4(2)(7)}}{2(2)}\\\\t=\frac{15\pm \sqrt{225-56}}{4}\\\\t=\frac{15\pm\sqrt{169}}{4}\\\\t=\frac{15\pm 13}{4}\\\\t=\frac{15-13}{4}\ or\ t=\frac{15+13}{4}\\\\t=\frac{2}{4}\ or\ t=\frac{28}{4}\\\\t=0.5\ s\ or\ t=7\ s

Therefore, the debris will reach a height of 56 ft twice.

When time t=0.5\ s during the upward journey, the debris is at height of 56 ft.

Again after reaching maximum height, the debris falls back and at t=7\ s, the height is 56 ft.

5 0
3 years ago
1.6 - 1.3 mathematics
elena-14-01-66 [18.8K]
Answer: 0.3 :) :) :) :)
8 0
3 years ago
Find the equation of a line parallel to y=-10x-5 passing through the coordinate (-3,5)
Allushta [10]
With a given parallel line and a given point on the line
we can use the point-line method:  y-y0=m(x-x0)
where
y=mx+k is the given line, and
(x0,y0) is the given point.

Here
m=-10, k=-5, (x0,y0)=(-3,5)

=> the required line L is given by:
L:  y-5=-10(x-(-3))

on simplification
L: y=-10x-30+5
L: y=-10x-25
4 0
3 years ago
Lorinda can walk 1.8 miles in 30 minutes. Which proportion can be used to find how many miles she can walk in 45 minutes?
KonstantinChe [14]
Maybe this is the answer 1.8/30 = x/45
8 0
3 years ago
Read 2 more answers
I am stuck on |x+3|&lt;5. Can someone help?
NeTakaya
the answer would be -8<x<2
5 0
3 years ago
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