Answer:
Volume left = 404.32 cubic inches
Step-by-step explanation:
volume of a cylinder = ![\pi](https://tex.z-dn.net/?f=%5Cpi)
h
volume of ice cream in the cylindrical tub =
x
x 9
=
x 25 x 9
= 707.1429
Volume of ice cream in the cylindrical tub is 707.14 cubic inches.
The ice cream scoop has a spherical volume, so that;
volume of a sphere = ![\frac{4}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B3%7D)
![\pi](https://tex.z-dn.net/?f=%5Cpi)
![r^{3}](https://tex.z-dn.net/?f=r%5E%7B3%7D)
r = ![\frac{2.5}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B2.5%7D%7B2%7D)
=
inches
volume of the scoop =
x
x ![(\frac{5}{4} )^{3}](https://tex.z-dn.net/?f=%28%5Cfrac%7B5%7D%7B4%7D%20%29%5E%7B3%7D)
=
x
x ![\frac{125}{64}](https://tex.z-dn.net/?f=%5Cfrac%7B125%7D%7B64%7D)
= 8.1845
volume of the scoop is 8.19 cubic inches.
If he scoops 37 scoops,
volume of the 37 scoops = 37 x 8.1845
= 302.8265
volume of 37 scoops is 302.83 cubic inches.
Volume of ice cream left in the tub = 707.1429 - 302.8265
= 404.3164
Volume of ice cream left in the tub is 404.32 cubic inches.
Answer:
a)yes
Step-by-step explanation:
5 times 5 is 25
8 times 5 is 40
Answer:
22 rooms
Step-by-step explanation:
If two gallons of paint covers 3 rooms then you need to divide 15 gallons of paint by 2 gallons of paint = 7.5 gallons of paint. then you need to multiply 7.5 gallons of paint by 3 rooms = 22.5..... so that means you can paint 22 full rooms.
The given triangle has a right angle.
We use the mnemonics SOH-CAH-TOA.
1i)
,
,![\implies \sin C =\frac{15}{17}](https://tex.z-dn.net/?f=%5Cimplies%20%5Csin%20C%20%3D%5Cfrac%7B15%7D%7B17%7D)
ii)
,
,![\implies \cos C =\frac{8}{17}](https://tex.z-dn.net/?f=%5Cimplies%20%5Ccos%20C%20%3D%5Cfrac%7B8%7D%7B17%7D)
,
,![\implies \tan C =\frac{15}{8}](https://tex.z-dn.net/?f=%5Cimplies%20%5Ctan%20C%20%3D%5Cfrac%7B15%7D%7B8%7D)
2. We want to find the hypotenuse.
We know an angle to be 23 degrees.
We were also given the side opposite to this angle to be 1200km.
Therefore we use the sine ratio.