A closed cylindrical tank- made of thin iron-sheet- has diameter 8-4 m and height 5-4 m- How much metal sheet to the nearest m-2 is used in making this tank- displaystyle frac-1-15- of the sheet actually used was wasted in making the tank -272- m-2270 -m-2235 -m-2240 -m-2

Question

Toppr Admin · Accepted Answer

Given diameter -8-4 mWe know-xA0-diameter -2-xD7- radius-x2234-xA0-radius -4-2 mAlso given-xA0-height -5-4 m-x2234- total surface area of cylinder -2-x3C0-r-r-h-cm2-2-3-14-4-2-4-2-5-4-253-44

A closed cylindrical tank, made of thin iron-sheet, has diameter $8.4$ m and height $5.4$ m. How much metal sheet to the nearest $m^{2}$ is used in making this tank, if $\frac{1}{15}$ of the sheet actually used was wasted in making the tank ?
$272 m^{2}$
$270 m^{2}$
$235 m^{2}$
$240 m^{2}$

Given diameter $= 8.4$ m
We know, diameter $= 2 \times$ radius
$∴$ radius $= 4.2$ m
Also given, height $= 5.4$ m
$∴$ total surface area of cylinder $= 2 π r (r + h) c m^{2}$
$= 2 (3.14) (4.2) (4.2 + 5.4) = 253.44$

A closed cylindrical tank, made of thin iron-sheet, has diameter 8.4 m and height 5.4 m. How much metal sheet to the nearest m2 is used in making this tank, if 115 of the sheet actually used was wasted in making the tank ?272m2270m2235m2240m2

Given diameter =8.4 mWe know, diameter =2× radius∴ radius =4.2 mAlso given, height =5.4 m∴ total surface area of cylinder =2πr(r+h)cm2=2(3.14)(4.2)(4.2+5.4)=253.44

A closed cylindrical tank, made of thin iron-sheet, has diameter $8.4$ m and height $5.4$ m. How much metal sheet to the nearest $m^{2}$ is used in making this tank, if $\frac{1}{15}$ of the sheet actually used was wasted in making the tank ?
$272 m^{2}$
$270 m^{2}$
$235 m^{2}$
$240 m^{2}$

Given diameter $= 8.4$ m
We know, diameter $= 2 \times$ radius
$∴$ radius $= 4.2$ m
Also given, height $= 5.4$ m
$∴$ total surface area of cylinder $= 2 π r (r + h) c m^{2}$
$= 2 (3.14) (4.2) (4.2 + 5.4) = 253.44$