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2 years ago

The volume of a sphere of radius 3 cm is

Mathematics

1 answer:

In-s [12.5K]2 years ago

3 0

Answer:

3^3 = 27

27 * 3.14 = 84.78

84.78 * 4/3 = 113.04 is your answer.

Formula of volume of sphere is:

4/3 x π(3.14 or 22/7 whatever they tell you to use for pi) x r^3(your radius being cubed)

You get your radius by finding out what is half of your diameter or your given radius.

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The volume of a right square pyramid is 80 cubic feet. If the sides of the base are doubled, but the height remains the same, wh

maksim [4K]

Answer:

320 cubic feet

Step-by-step explanation:

The volume is proportional to the product of the area of the base and the height of the pyramid. When the dimensions of the base are doubled, the area is multiplied by 2² = 4, hence the volume of the pyramid will be multiplied by 4.

4 × (80 ft³) = 320 ft³

The new volume of the pyramid is 320 cubic feet.

7 0

2 years ago

The minimum point of the graph y = 2x^2 + 2x +1 is located at:

slega [8]

Answer:

Step-by-step explanation:

By completing the square, y = 2x^2 + 2x +1 will be y=2(x+1/2)^2+(1/2) the minimum point is the vertex of the parabola which is (-1/2, 1/2)

8 0

2 years ago

What is 10% of 50? A. 6.75 B. 7.5 C. 10.5 D. 5.25

nirvana33 [79]

Its 5. Its none of those.

10% of 50.00 = 5.0000

5 0

3 years ago

There are an infinite number of vector and parametric equations for a given plane. Why is the scalar equation of a given plane u

Sonbull [250]

Answer:

The answer is below

Step-by-step explanation:

When you refer to a normal vector you mean the form a*x + b*y + c*z = d, if that's the case then it's not unique in the nose because it gives you its normal vector. Taking into account that uniqueness only supports multiplicative constants, which means that you can multiply the equation with whatever you want, that is, it remains the same

5 0

3 years ago

A trimming operation at a local manufacturer produces rods whose length conforms to unifrom distribution with a minimum of 18cm

MariettaO [177]

Answer:

The probability that randomly selected road will be at least 25.8 cm long will be 48%.

Step-by-step explanation:

Given: uniform distribution with min and max values of 18 and 33 respectively.

To find : probability density for upper cumulative frequency i.e 25.8 at least means x $\geq$ 25.8 upto 33 cm i.e the maximum limit of function.

Solution:

we have by definition , of uniform distribution

we get , probability density function defines as :

F(x,a,b)= $\frac{1}{b-a}$ $a\leq x\leq b$

=1/(33-18)=1/15=0.0667.

this is probability density function.

here the x=25.8 , a=18 and b=33

for lower cumulative frequency it defines as ;

P(x,a,b)= $\frac{x-a}{b-a}$ =25.8-18/33-18=0.52

for upper cumulative frequency it defines as ;

Q(x,a,b)=b-x/b-a=33-25.8/33-18=0.48

here at least 25.8 cm probability means it should be greater than a value(18cm) hence it is provided by the upper cumulative frequency

i.e. Q(x,a,b)=0.48

The probability that randomly selected road will be at least 25.8 cm long will be 48%.

7 0

2 years ago