Answer:
r = (3V/π)^1/3
Step-by-step explanation:
Given that :
Volume of a sphere = V = 4/3πr³
Dividing into 4
4/3 * 1/4 πr³ = 4/12πr³ = 1/3πr³
V = 1/3πr³
Cross multiply
3V = πr³
Divide both sides by π
3V/ π = πr³/ π
3V/ π = r³
Take the cube root of both sides
r = (3V/π)^1/3
Given:
A number when divided by 780 gives remainder 38.
To find:
The reminder that would be obtained by dividing same number by 26.
Solution:
According to Euclis' division algorithm,
...(i)
Where, q is quotient and
is the remainder.
It is given that a number when divided by 780 gives remainder 38.
Substituting
in (i), we get

So, given number is in the form of
, where q is an integer.
On dividing
by 26, we get




Since q is an integer, therefore (30q+1) is also an integer but
is not an integer. Here 26 is divisor and 12 is remainder.
Therefore, the required remainder is 12.
Given:
2 3/4 cups of tomatoes.
Number of cups of tomatoes written as a fraction greater than one.
2 3/4 is a mixed fraction. It is called such because it is a combination of a whole number and a fraction.
To find the number of cups of tomatoes written as fraction greater than 1, we need to convert the mixed fraction into an improper fraction.
Improper fraction is a fraction whose numerator is greater than its denominator.
2 3/4 ⇒ ((2*4)+3)/4 ⇒ (8+3)/4 ⇒ 11/4
11/4 is a fraction greater than one.
4/4 is a fraction that is equal to one. So, any numerator that is greater than 4 is a fraction that is greater than one. In this case, it is 11/4.
Answer:
Practice started at 1:55 pm.
Step-by-step explanation: