Answer:
6.36l
Step-by-step explanation:
We compute first the volume:
V=pi×h/3×(R²+r²+rR), where h=20cm is the height, R=24/2=12cm is the top radius, r=16/2=8cm is the bottom radius.
We get: V=pi×20/3(12²+8²+12×8)=
20×pi/3(144+64+96)cm³
V=20×pi/3×304=6363.73cm³
In dm³ we have (divide by 1000) V=6.36dm³
By definition, 1dm³=1l, so the capacity is 6.36l
Answer:
=25+2squared
Step-by-step explanation:
simple like terms
36-11=25
-5squared+7squared=2squared
=25+2squared
Given.
Radius of the Half sphere is 3 inches.
From the figure;
Radius of half sphere= Radius of cylinder= Radius of cone=3inches
Height of cone= 4inches.
Height of cylinder=6inches.
Volume of cone=(πr²h)/3
=(π3²×4)/3
=(12π) inch³
volume of cylinder= πr²h=π3²6=54π inch³
Volume of half sphere= (4/3) π r³=π(4×3³)/3 (1/2)=π×4×9/2=18π inch³
Total area of Composite figure=(12π +54π +18π) inch³
=84π inch³
=(84)× 22/7inch³
=12×22 inch³
=264inch³
Hope it helps...
Regards;
Leukonov/Olegion.
Let x = number of pages holding 2 cards,
y = number of pages holding 3 cards.
So his total number of card would be 2x + 3y, which is given as 18. So we get this equation.
2x + 3y = 18
Subtract 3y from both sides:
2x = 18 – 3y
Divide both sides by 2:
x = (18 – 3y)/2
x must be an integer. So 18–3y must be a multiple of 2. Since 18 is a multiple of 2, 3y is also a multiple of 2. Then y must be a multiple of 2 too.
Let's start with y = 0.
When y = 0, x = (18 – 3(0))/2 = 9.
When y = 2, x = (18 – 3(2))/2 = 6.
When y = 4, x = (18 – 3(4))/2 = 3.
When y = 6, x = (18 – 3(6))/2 = 0.
Thus there are 4 ways to display his figures.
