Answer:
The answer is 1767.15cm^3
Step-by-step explanation:
The formula for finding the volume of a spherical object is 4/3(π)(r^3),where r is the radius of the object. But here only the diameter was given. And diameter=2(r), where r is radius.
So to find the radius, divide the diameter by 2. Since by making r the subject of the equation you get r=diameter/2.
Using the formula
4/3(π)(r^3)=(4π((15/2)^3))/3
=(4π(7.5^3)/3
=(4π(421.875))/3
Since π is 3.141592654
(4π(421.875))/3=1/3(4(3.141592654)(421.875))
=1/3(5301.437603)
=1767.145868
But I rounded off the answer to 2 decimal places and so I got 1767.14
Answer:
d = 10/72
Step-by-step explanation:
c and d vary inversely
c = k/d
Where,
k = constant of proportionality
d = 2/9 when c = 5
c = k/d
5 = k ÷ 2/9
5 = k × 9/2
5 = 9k/2
Cross product
5*2 = 9k
10 = 9k
k = 10/9
c = k/d
c = 10/9 ÷ d
c = 10/9 × 1/d
c = 10/9d
find d when c = 8
c = 10/9d
8 = 10/9d
Cross product
8*9d = 10
72d = 10
d = 10/72
Answer:
Difference is 14,787 ft
Step-by-step explanation:
Mt. Whitney = 14,505 ft above sea level
sea level = 0 ft
Death Valley = below sea leve
14505 - (-282) = 14787 ft
Answer:
24 munchkins.
Step-by-step explanation:
Let C be the number of chocolate and D be number of glazed donut holes in the original box.
We are told if Jacob ate 2 chocolate munchkins, then 1/11 of the remaining Munchkins would be chocolate. We can represent this information as:
We are also told if he instead added 4 glazed Munchkins to the original box, 1/7 of the Munchkins would be chocolate. We can represent this information as:
Upon substituting C's value from equation (2) in equation (1) we will get,
Let us have a common denominator on right side of equation.
Multiplying both sides of our equation by 7, we will get,
Multiplying both sides of our equation by 11, we will get,
Therefore, the total number of Munchkins in original box is 24.
