Step-by-step explanation:
We have, a sphere and a cylinder have the same radius and height. The volume of the cylinder, 
The volume of sphere is : 
The volume of cylinder is : 
Dividing the volume of sphere and the volume and cylinder, such that,

As r = h

So, the volume of sphere is (four-third) of 11. therefore, the correct option is (A).
0.35 as a fraction is 35 over 100. An equivalent to this is 7 over 20
Answer:
t = - 24
Step-by-step explanation:
Given t varies inversely as a then the equation relating them is
t =
← k is the constant of variation
To find k use the condition t = 2 when a = - 4
2 =
( multiply both sides by - 4 )
- 8 = k
t =
← equation of variation
When a =
, then
t =
= - 24
Answer:
A dime is worth 2 nickels.
let no of dimes be x
let no of nickles be y
so as per the data mentioned in the question , x=2*y-10
total amount = $2.75
so total amount should comprise of nickels and dimes
x*dimes + y*nickels = $2.75
x*( 2 nickels)+ y *nickels = $2.75
=> nickles( 2x+y) = $ 2.75
but 20 nickels = 1 dollar
nickles(2x+y) = 2.75*20 nickels
cancelling nickles on both sides
2x+y = 55
already we know that x= 2y-10
so 2(2y-10) +y= 55
4y-20+y=55
5y -20 =55
add 20 on both sides
5y-20+20=55+20
5y=75
divide with 5 on both sides
5y/5 =75/5
y= 15
so x= 2y-10
x= 2*15-10
x= 30-10
x= 20
so # of dimes =20
# of nickels =15