The length, breadth and height of a room are 5m, 4m and 3m respectively. Find the cost of white washing the walls of the room and the ceiling at the rate of ₹ 7.50 per m2. OR The curved surface area of right circular cylinder of height 14cm is 88cm2. Find the diameter of the base of the cylinder.
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Answer:
Step-by-step explanation:
[tex]Length, \:breadth\: and\: height\: of\: a\: room\: are\: 5 m\:, 4 m\: and\: 3 m.\\\\[/tex]
[tex]Area \;of\: four\; walls\: of\: the\: room\: =2h(l + b)[/tex]
[tex]=2*3(5+4)[/tex]
[tex]=6(9)[/tex]
[tex]=54 s q m[/tex]
[tex]Area \:of\: the\: ceiling\: =l *b[/tex]
[tex]5*4\\=20sq cm[/tex]
[tex]Total\: area\; of\: the\: four\: walls\: and\: the\: ceiling\: of\: the\: room\:[/tex]
[tex]=54+20\\=74sqcm[/tex]
[tex]Cost\: of\: white\: washing\: = rupees \: 7.50 \;per\: sq m[/tex]
[tex]Total\:cost\: of\; white\; washing\; =\:74*7.50= Rs\: 555[/tex]
[tex]Height\: (h)\: of\: cylinder\: =\; 14cm[/tex]
[tex]Let\; the \:diameter\: of\: cylinder\; be\: d.[/tex]
Curved Surface Area of Cylinder = 88cm square
[tex]2\pi rh = 88 cm\: square[/tex]
[tex]\pi dh = 88 \:cm \:square. (d = 2r)[/tex]
[tex]22/7 * d *14 = 88 cm[/tex]
[tex]d=2\:cm[/tex]
[tex]Therefore ,the\; diameter\; of\: the\: base\; of\: the\: cylinder\: is\; 2 \:cm[/tex]
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