Answer:
jvjjvscsjcsjsvjscjsvhchhcuhcjwcwh ejcisvsufjdtsydghcwhcjwvhsvjscekfdjsvjsfjsvkdvs
Step-by-step explanation:
30y
Answer: 461.60 is the volume of liquid the tank can hold.
Step-by-step explanation:
We were given;
Height H = 9 ft
Diameter D = 14 ft
Pie π = 3.14
We will make use the formula of volume of a cone to get volume of water the tank can hold because it is said that the tank is in the shape of a cone
So
V = 1/3 * πr2h
First we need to find our radius r
Radius = 1/2 of diameter = 14/2 = 7
So using the formula
V = 1/3 * πr2h
V = 1/3 (3.14 * 7² * 9)
V = (3.14 * 49 * 9)/3
V = 1384.74 / 3
V = 461.58 = 461.60 (nearest ten)
Answer:
Density of steel = 80.73 gm/![cm^3](https://tex.z-dn.net/?f=cm%5E3)
Step-by-step explanation:
The figure is made up of cuboid and square pyramid.
Height of cuboid, h = 9 cm
Length of cuboid, l = 6 cm
Width of cuboid, w = 6 cm
Volume of cuboid is given by the formula:
![V_{Cuboid} = l \times w \times h](https://tex.z-dn.net/?f=V_%7BCuboid%7D%20%3D%20l%20%5Ctimes%20w%20%5Ctimes%20h)
![V_{Cuboid} = 6 \times 6 \times 9\\\Rightarrow V_{Cuboid} = 324\ cm^3](https://tex.z-dn.net/?f=V_%7BCuboid%7D%20%3D%206%20%5Ctimes%206%20%5Ctimes%209%5C%5C%5CRightarrow%20V_%7BCuboid%7D%20%3D%20324%5C%20cm%5E3)
Density of Wood ,
= 0.68g/![cm^3](https://tex.z-dn.net/?f=cm%5E3)
We know that formula of Density is:
![Density = \dfrac{Weight}{Volume}](https://tex.z-dn.net/?f=Density%20%3D%20%5Cdfrac%7BWeight%7D%7BVolume%7D)
![D_{Cuboid} = \dfrac{W_{Cuboid}}{V_{Cuboid}}\\\Rightarrow W_{Cuboid} = V_{Cuboid} \times D_{Cuboid}](https://tex.z-dn.net/?f=D_%7BCuboid%7D%20%3D%20%5Cdfrac%7BW_%7BCuboid%7D%7D%7BV_%7BCuboid%7D%7D%5C%5C%5CRightarrow%20W_%7BCuboid%7D%20%3D%20V_%7BCuboid%7D%20%5Ctimes%20D_%7BCuboid%7D)
Putting the values:
![W_{Cuboid} = 324 \times 0.68 = 220.32\ gm](https://tex.z-dn.net/?f=W_%7BCuboid%7D%20%3D%20324%20%5Ctimes%200.68%20%3D%20220.32%5C%20gm)
Total weight = ![W_{Cuboid} + W_{Pyramid}](https://tex.z-dn.net/?f=W_%7BCuboid%7D%20%2B%20W_%7BPyramid%7D)
970 = 220.32 ![+ W_{Pyramid}](https://tex.z-dn.net/?f=%2B%20W_%7BPyramid%7D)
= 749.68 gm
Volume of pyramid is given as:
![V_{Pyramid}= \dfrac{1}{3} \times \text{Area of Base} \times \text{Vertical Height}](https://tex.z-dn.net/?f=V_%7BPyramid%7D%3D%20%5Cdfrac%7B1%7D%7B3%7D%20%5Ctimes%20%5Ctext%7BArea%20of%20Base%7D%20%5Ctimes%20%5Ctext%7BVertical%20Height%7D)
Base is a square with side 6 cm
![V_{Pyramid}= \dfrac{1}{3} \times 6 \times 6 \times (17 -9)\\V_{Pyramid}= 96\ cm^3](https://tex.z-dn.net/?f=V_%7BPyramid%7D%3D%20%5Cdfrac%7B1%7D%7B3%7D%20%5Ctimes%206%20%5Ctimes%206%20%5Ctimes%20%2817%20-9%29%5C%5CV_%7BPyramid%7D%3D%2096%5C%20cm%5E3)
Density of Steel/Pyramid:
![D_{Pyramid} = \dfrac{W_{Pyramid}}{V_{Pyramid}}\\\Rightarrow D_{Pyramid} = \dfrac{749.68}{96}\\\Rightarrow D_{Pyramid} = 80.73\ gm/cm^3](https://tex.z-dn.net/?f=D_%7BPyramid%7D%20%3D%20%5Cdfrac%7BW_%7BPyramid%7D%7D%7BV_%7BPyramid%7D%7D%5C%5C%5CRightarrow%20D_%7BPyramid%7D%20%3D%20%5Cdfrac%7B749.68%7D%7B96%7D%5C%5C%5CRightarrow%20D_%7BPyramid%7D%20%3D%2080.73%5C%20gm%2Fcm%5E3)
Area of a rectangle: 2(L+W)
length: 4+W
Area: 2(4+W) + 2W = 96
8+2W+2W = 96
8+4W = 96
4W = 88
W= 22cm
Calculate for length: 2L + 2(22) = 96
2L + 44 = 96
2L = 52
L = 26cm
• The length is 26cm and width is 22 cm.
Answer: The pelican dove 5ft
Step-by-step explanation:
Pelican = 3ft
Fish = -2ft
Went down 3ft to get to 0, went down 2 more feet to get the fish.