50 students of class ix planned to visit an old age home and to spend the whole day with inmates. each one prepared a cylinder flower vase using card board to gift the inmates.
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QUESTION:
50 students of class X planned a visit to an old age home and to spend the whole day with its inmates. Each one prepared a cylindrical flower vase using cardboard to gift the inmates. The radius of cylinder is 4.2 cm and the height is 11.2 cm.
What is the amount spent for purchasing the cardboard at the rate of Rs. 20 per 100 m²?
SOLUTION:
Given:
Radius of base of each cylindrical vase(r)= 4.2 cm
Height of each cylindrical vase(h) = 11.2 cm
Area of cardboard needed for each vase = CSA of cylinder + Area of base
Area of cardboard needed for each vase = 2πrh + πr²
Area of cardboard needed for each vase = 2×22/7×4.2×11.2 + 22/7×(4.2)²
Area of cardboard needed for each vase = 295.68 + 55.44 = 351.12 cm²
Number of students = 50. (GIVEN)
Total amount of cardboard needed = 50 × 351.12 = 17556 cm²
Rate of purchasing the cardboard= ₹ 20/100 cm².
cost of 17556 cm² of cardboard = ₹ 17556× 20/100 = ₹ 3511.20
HOPE THIS WILL HELP YOU...
50 students of class X planned a visit to an old age home and to spend the whole day with its inmates. Each one prepared a cylindrical flower vase using cardboard to gift the inmates. The radius of cylinder is 4.2 cm and the height is 11.2 cm.
What is the amount spent for purchasing the cardboard at the rate of Rs. 20 per 100 m²?
SOLUTION:
Given:
Radius of base of each cylindrical vase(r)= 4.2 cm
Height of each cylindrical vase(h) = 11.2 cm
Area of cardboard needed for each vase = CSA of cylinder + Area of base
Area of cardboard needed for each vase = 2πrh + πr²
Area of cardboard needed for each vase = 2×22/7×4.2×11.2 + 22/7×(4.2)²
Area of cardboard needed for each vase = 295.68 + 55.44 = 351.12 cm²
Number of students = 50. (GIVEN)
Total amount of cardboard needed = 50 × 351.12 = 17556 cm²
Rate of purchasing the cardboard= ₹ 20/100 cm².
cost of 17556 cm² of cardboard = ₹ 17556× 20/100 = ₹ 3511.20
HOPE THIS WILL HELP YOU...
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