mores.pics | Update Everything
Answer:
Subtracting the volume of the cylinder from the volume of the prism, the volume of metal in the hex nut to the nearest tenth is 23.6 cm^3 (second option)
Step-by-step explanation:
Diameter of the cylinder: d=1.6 cm
Apothem of the hexagon: a=2 cm
Assuming the thickness of the steel hex nut: t=2 cm
Volume of metal in the hex nut: V=?
V=Vp-Vc
Volume of the prism: Vp
Volume of the cylinder: Vc
Prism:
Vp=Ab h
Ab=n L a / 2
Number of the sides: n=6
Side of the hexagon: L
Height of the prism: h=t=2 cm
Central angle in the hexagon: A=360°/n
A=360°/6
A=60°
tan (A/2)=(L/2) / a
tan (60°/2)=(L/2) / (2 cm)
tan 30° = (L/2) / (2 cm)
sqrt(3)/3=(L/2) / (2 cm)
Solving for L/2:
(2 cm) sqrt(3)/3 = L/2
2 sqrt(3)/3 cm = L/2
Solving for L:
2 (2 sqrt(3)/3 cm)=L
4 sqrt(3)/3 cm = L
L=4 sqrt(3)/3 cm
Ab=n L a / 2
Ab=6 (4 sqrt(3)/3 cm)(2 cm) / 2
Ab=24 sqrt(3)/3 cm^2
Ab=8 sqrt(3) cm^2
Vp=Ab h
Vp=(8 sqrt(3) cm^2)(2 cm)
Vp=16 sqrt(3) cm^3
Vp=16 (1.732) cm^3
(1) Vp=27.712 cm^3
Cylinder:
Vc=(π d^2/4) h
π=3.14
d=1.6 cm
Height of the cylinder: h=t=2 cm
Vc=[3.14 (1.6 cm)^2 / 4] (2 cm)
Vc=[3.14 (2.56 cm^2) / 4] (2 cm)
Vc=(2.0096 cm^2) (2 cm)
Vc=4.019 cm^3
V=Vp-Vc
V=27.712 cm^3 - 4.019 cm^3
V=23.693 cm^3
V=23.6 cm^3
Answer:
person above is correct!
Step-by-step explanation:
edge. 2022 :)
Source: www.gauthmath.com
Source: www.gauthmath.com
Source: www.gauthmath.com
Source: www.gauthmath.com
Source: www.gauthmath.com
Source: www.gauthmath.com
Source: www.numerade.com
Source: www.indiamart.com
Source: www.indiamart.com
Source: www.indiamart.com
Source: www.indiamart.com
Source: www.chegg.com
Source: jjbolt.com
Source: mkt-marketing.com
Source: www.chegg.com
Source: www.chegg.com
Source: www.indiamart.com
Source: qa.pwntestprep.com
Source: www.indiamart.com
Source: www.indiamart.com
Source: www.chegg.com
Source: www.chegg.com
Source: www.indiamart.com
Source: www.indiamart.com
Source: machine-drawing.blogspot.com
Polished 2inch Mild Steel Hexagonal Nut For Hardware Fitting at Rs 10
Source: www.indiamart.com
Heavy Hex Nut Dimensions Atlanta Rod and Manufacturing
Source: www.atlrod.com
A steel hex nut has two regular hexagonal bases and cylindrical hole solved: what is faces with complete 1/2 bsp at rs 6 5/piece mild hexaginal nuts 2 mm ₹ 100/piece in ojhar id solved bolt assembly shown figure 1 chegg com stainless buy mill mkt 29 many feel this tricky: consider the (1) given 6/piece pwn test prep sat q size: nch 15/piece mumbai 2inch(d) 90/piece problem 1: 3: polished diameter: 200/kg heavy 12/piece ss machine drawing: 2inch for hardware fitting 10 13 grade 2h dimensions atlanta rod manufacturing