All categories

2 years ago

The volume of a sphere whose diameter is 18 cm is

Mathematics

1 answer:

prohojiy [21]2 years ago

5 0

Answer:

= 3052.08 cm^3

Step-by-step explanation:

Volume of a sphere is given by

V = 4/3 pi r^3

We know the diameter is 18

d = 2r

18 = 2r

Divide each side by 2

18/2 =2r/2

9 =r

V = 4/3 pi 9^3

V = 4/3 pi (729)

V = 972 pi

Approximating pi by 3.14

V =972 (3.14)

= 3052.08 cm^3

You might be interested in

What is the range of the data set?

777dan777 [17]

Answer:

42.9

Step-by-step explanation:

The range is the difference between the highest and lowest numbers

71.8-28.9=42.9

7 0

2 years ago

Explain why the terms 4x and 4x^2 are not like like terms

Brrunno [24]

Answer:

well for me it's because

Step-by-step explanation:

Of the raise to power

6 0

2 years ago

Select all that apply.

dimulka [17.4K]

2x 2 - 6x = 0 .... if you mean 2x^2 - 6x = 0
then 2x = 0 and x - 3 = 0 << answer

3 0

3 years ago

At what values of x does f(x) = x^3 - 2x^2 -4x+1 satisfy the mean value theorwm on [0,1]

denis-greek [22]

Answer:

x=1/3

Step-by-step explanation:

A function f is given as

$f(x) = x^3-2x^2-4x+1$ in the interval [0,1]

This function f being an algebraic polynomial is continuous in the interval [0,1] and also f is differntiable in the open interval (0,1)

Hence mean value theorem applies for f in the given interval

$f(1) = 1-2-4+1 = -4\\f(0) = 1$

The value

$\frac{f(1)-f(0)}{1-0} =\frac{-4-1}{1} =-5$

Find derivative for f

$f'(x) = 3x^2-4x-4$

Equate this to -5 to check mean value theorem

$3x^2-4x-4=-5\\3x^2-4x+1=0\\\\(x-1)(3x-1) =0\\x= 1/3 : x = 1$

We find that 1/3 lies inside the interval (0,1)

4 0

2 years ago

15. Ordered: gr. viiss<br> Label: 30% solution<br> How many ml do you use?

Shkiper50 [21]

Answer:

Step-by-step explanation:k

5 0

2 years ago