Vcylinder=hpir^2
Vcone=(1/3)hpir^2
d/2=r
so
1.
d=8
r=8/2=4
h=3r
h=3(4)
h=12
V=12*3.14*4^2
V=602.88 in^2
2. cone that fits has same base area and therefor same radius
d=6
r=6/2=3
rcone=3
find height of can
V=hpir^2
21=h*3.14*3^2
21=h*3.14*9
0.7431=h
so
cone height=0.7431
radius=3
V=(1/3)(0.7431)(3.14)(3^2)
V=7 cubic units
3.
same base
find dimentions
s=s=s
V=s^3
27=s^2
3=s
Vsquarepyramid=(1/3)hs^2
s=legnth of base
h=height
h=side
V=(1/3)(3)(3^2)
V=9
C
1. 602.88 in^2
2. 7 cubic units
3. 9cm^3, C
I=ptr
i=(3000)(1461)(3.5%)
i=153405
his cost will be $153 405 by 4 years
9514 1404 393
Answer:
6 feet
Step-by-step explanation:
The volume of a cylinder is given by ...
V = πr^2·h
For a sphere, the volume is ...
V = 4/3πr^3
You want the volumes to be the same when h=8, so we have ...
πr^2·8 = 4/3πr^3
Dividing by πr^2, we have ...
8 = 4/3r
r = 3/4·8 = 6
The radius is 6 feet.
Answer:
18 km
Step-by-step explanation:
set up a ratio:
for 2.4 liters of petrol, 43.2 km is covered
for 1 liter of petrol, x km is covered
so 2.4/43.2 is equal to 1/x
cross multiply:
2.4x = 43.2
simplify:
x=18
the vehicle will cover 18 km in one liter of petrol
(cell tower)/((45 +3) m) = (2 m)/(3 m)
(cell tower) = (48 m)(2/3) = 32 m
B. 32 m . . . . . is the appropriate selection