V is the volume of a cylinder; the radius of the cylinder is 3.4. The

Question

V is the volume of a cylinder; the radius of the cylinder is 3.4. The height of the cylinder is 550% more than the radius. Which of the following is true?

A. 100 < V < 300
B. 300 < V < 500
C. 500 < V < 700
D. 700 < V < 900
E. 900 < V < 1100

14101992 · Answer

Volume of a cylinder is pi*(r^2)*h h>5.5r+r ---> h>6.5*3.4 So, volume is > 3.14*3.4*3.4*6.5*3.4=800 (approx) Hence, answer will be D. ---------------------------------- P.S. Don't forget to give kudos

Senthil1981 · Answer

Answer is D : 700 < V < 900

Volume of cylinder is  \pi  r^2 h

Given r = 3.4 and h is 550% more than r, which means r = 6.5 * r (if 100% more then it means twice, so..)

So V =  \pi  {3.4}^2 * 6.5

LogicGuru1 · Answer

You forgot to multiply  3.4 one more time (value of r)

AmoyV · Answer

Height=3.4*6.5=22.1

Volume = pi*r^2*h=pi*3.4^2*22.1= approx 800

Answer: D

cutegirlsimran · Answer

As we see the answers are in form of range we can use approximation

Volume of cylinder is πr^2h

Given π= 22/7 and r = 3.4 so r^2 ~ 12 and h = 6.5 * 3.4 ~ 21

So 22/7 * 12 * 21 = 792

so answer should be

D. 700 < V < 900

duchessjs · Answer

Question: V is the volume of a cylinder; the radius of the cylinder is 3.4. The height of the cylinder is 550% more than the radius. Which of the following is true?

V=(	ext{Height of Cylinder})(	ext{Area of Cylinder Face}) 
 V=h(\pi r^2)	ext{ }    	ext{ r}=3.4	ext{ }      	ext{ }\pi\approx{3}	ext{ }     	ext{ } 550\% = \frac{550}{100}  
 h = \frac{550}{100}(3.4) +3.4 
 h = 22.1 \implies 	ext{round to }h\approx{22}

r^2=3.4^2\approx{11.5} 
 V  \approx{22(\pi)(11.5)}

V\approx{\pi (253)} 
 V\approx{(253)(3)} 
 V\approx{(759)}

Correct Answer: D. 700 < V < 900

rishinric · Answer

V is the volume of a cylinder; the radius of the cylinder is 3.4. The height of the cylinder is 550% more than the radius. Which of the following is true?

A. 100 < V < 300
B. 300 < V < 500
C. 500 < V < 700
D. 700 < V < 900
E. 900 < V < 1100

Height = R+5.5R= 6.5R
V= 3.14×R^2×H = 3.14×6.5×R^3
V= 3.14×6.5×3.4^3
= 800 Approx
Answer = D

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Kunal112 · Answer

R = 3.4 H = 3.4 + 5.5 x 3.4 = 6.5 x 3.4
V = 3.14 x 3.4^3 x 6.5 = 800 approx

Option D is correct

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V is the volume of a cylinder; the radius of the cylinder is 3.4. The

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