Given:
A prism has a base area of 
square units and a volume of 
cubic units.
To find:
The volume of the cylinder if the cylinder has the same base area and height.
Solution:
Volume of a prism is:
Where, B is the base area and h is the height of the prism.
The volume of cylinder is:
Where, r is the radius, h is the height of the cylinder and 
is the base area.
Since base area and height of the cylinder are same as the prism, therefore, there volumes are equal.
Hence the volume of the cylinder is cubic units.
Answer:
Step-by-step explanation:
Arithmetic sequence:
Here a is the first term and d is the common difference.
⇒ 
------------(I)
⇒ a + 19d = 100 ---------(II)
Subtract equation (I) from (II)
(I1) a + 19d = 100
(II) a + 13d = 46
<u>- - -</u>
6d = 54
d = 54 ÷ 6
Substitute d = 9 in equation(I) and find 'a',
a + 13*9= 46
a + 117 = 46
a = 46 - 117
a = -71
= -71 + 18
= -53
= -71 + 54
= -17
= -71 + 9*n - 1 *9
= -71 + 9n - 9
= -71 - 9 + 9n
= - 80 + 9n
Answer:
y= 11/2 x+1/2
Step-by-step explanation:
Slope Intercept form: y = mx + b where m = slope of the line, b = y intercept and (x,y) are coordinate points on the line.
To put this in slope-intercept form, you need to solve the equation for y
-11x + 2y = 1
<u>+11x +11x</u> add 11x to both sides of the equation
<u>+2y</u> = <u>1 + 11x</u>
2 2 Divide both sides by 2 (so y is by itself)
y = 11/2x + 1/2
Answer:
$37.97
Step-by-step explanation:
The price of the shoes before tax is 100% of the price of the shoes.
Then the tax adds 5.5% of the price of the shoes to the price of the shoes.
He ends up paying 100% + 5.5% of the price of the shoes.
100% + 5.5% = 105.5%
Now we find 105.5% of $35.99.
105.5% of $35.99 = 1.055 × $35.99 = $37.96945
Answer: $37.97
