a vessel in the form of a hemisphere surrounded by a cylinder of same radius is full of liquid whose volume is 432pie cm cube if water is filled in it to a level which is 1 cm below the top of vessel then volume of the water is 396 pi cm find the radius of the circular end
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a vessel in the form of a hemisphere surrounded by a cylinder of same radius is full of liquid whose volume is 432pie cm cube if water is filled in it to a level which is 1 cm below the top of vessel then volume of the water is 396 pi cm find the radius of the circular endweight of cylinder with volume 100cm cube at rate of 7.5 grams weight per 1 cm =SWER:
Volume of a cuboid =(Length×Breadth×Height) cubic units
Total surface area =2(lb+bh+lh) sq units
Lateral surface area =[2(l+b)×h] sq units
(i) Length = 22 cm, breadth = 12 cm, height = 7.5 cm
Volume =(Length×Breadth×Height) = (22×12×7.5)=1980 cm3
Total surface area =2(lb+bh+lh)= 2[(22×12)+(22×7.5)+(12×7.5)]=2[264+165+90]=1038 cm2
Lateral surface area =[2(l+b)×h]=2(22+12)×7.5=510 cm2
(ii) Length = 15 m, breadth = 6 m, height = 9 dm = 0.9 m
Volume =(Length×Breadth×Height) = (15×6×0.9)=81 m3
Total surface area=2(lb+bh+lh) = 2[(15×6)+(15×0.9)+(6×0.9)]=2[90+13.5+5.4]=217.8 m2
Lateral surface area =[2(l+b)×h]=2(15+6)×0.9=37.8 m2
(iii) Length = 24 m, breadth = 25 cm = 0.25 m, height = 6 m
Volume =(Length×Breadth×Height) = (24×0.25×6)=36 m3
Total surface area=2(lb+bh+lh) = 2[(24×0.25)+(24×6)+(0.25×6)]=2[6+144+1.5]=303 m2
Lateral surface area =[2(l+b)×h]=2(24+0.25)×6=291 m2
(iv) Length = 48 cm = 0.48 m, breadth = 6 dm = 0.6 m, height = 1 m
Volume =(Length×Breadth×Height) = (0.48×0.6×1)=0.288 m3
Total surface area =2(lb+bh+lh)= 2[(0.48×0.6)+(0.48×1)+(0.6×1)]=2[0.288+0.48+0.6]=2.736 m2
Lateral surface area =[2(l+b)×h]=2(0.48+0.6)×1=2.16 m2
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