Maths-
General
Easy

Question

The Capacity of a closed cylindrical vessel of height 1m is 15.4 litres. How many square metres of metal sheet would be needed to make it?

hintHint:

The capacity (or volume) of a closed cylindrical vessel with base radius r and height h, is pi r squared h  cubic units.

The correct answer is: 46.2 square metres of metal sheet would be needed to make it.  


    Explanations:
    Step 1 of 2:
    The capacity of a cylindrical vessel of height 1m is given by, 15.4 litres.
    therefore pi r squared h equals 15.4
    not stretchy rightwards double arrow r squared equals 154 over 10 cross times 7 over 22 cross times 1 equals 49 over 10
    not stretchy rightwards double arrow r equals fraction numerator 7 over denominator square root of 10 end fraction straight m.

    Step 2 of 2:
    The TSA (total surface area) of a closed cylindrical vessel ispi r squared h plus 2 pi r squared   sq. units, the term ‘’ blank to the power of apostrophe 2 pi r squared indicates  the surface area of the two closed bases.
    therefore pi r squared h plus 2 pi r squared
    equals 22 over 7 cross times 49 over 10 cross times 1 plus 2 cross times 22 over 7 cross times 49 over 10
    equals 1 over 10 left parenthesis 22 cross times 7 plus 44 cross times 7 right parenthesis
    equals 1 over 10 left parenthesis 154 plus 308 right parenthesis
    equals 462 over 10 equals 46.2 sq. straight m
    Final Answer:
    46.2 square metres of metal sheet would be needed to make it.

    Related Questions to study

    General
    Maths-

    The area of a trapezium is 24 sq.cm The distance between its parallel sides is 4 cm. If one of the parallel sides is 7 cm, what is the measure of the other parallel side?

    The area of a trapezium is 24 sq.cm The distance between its parallel sides is 4 cm. If one of the parallel sides is 7 cm, what is the measure of the other parallel side?

    Maths-General
    General
    Maths-

    Babu left one-third of his property to his son, one-fourth to his daughter and the remainder to his wife. If his wife's share is Rs 1,80,000, what was the value of his property?

    Babu left one-third of his property to his son, one-fourth to his daughter and the remainder to his wife. If his wife's share is Rs 1,80,000, what was the value of his property?

    Maths-General
    General
    Maths-

    Ram's mother is four times as old as Ram now. After sixteen years, she will be twice as old as Ram. Find their present ages.

    Ram's mother is four times as old as Ram now. After sixteen years, she will be twice as old as Ram. Find their present ages.

    Maths-General
    parallel
    General
    Maths-

    Tanay obtained 98 marks in a mathematics test. His score is the highest in the class and it is also 8 more than three times the lowest score. Create the equation and calculate the lowest score.

    Tanay obtained 98 marks in a mathematics test. His score is the highest in the class and it is also 8 more than three times the lowest score. Create the equation and calculate the lowest score.

    Maths-General
    General
    Maths-

    Find three consecutive odd numbers whose sum is 159.

    Find three consecutive odd numbers whose sum is 159.

    Maths-General
    General
    Maths-

    Solve 3x - 2y = 6 and x over 3 minus y over 6 equals 1 half

    Solve 3x - 2y = 6 and x over 3 minus y over 6 equals 1 half

    Maths-General
    parallel
    General
    Maths-

    Solve the following by substitution method 2x - 3y = 7 and x + 6y = 11.

    Solve the following by substitution method 2x - 3y = 7 and x + 6y = 11.

    Maths-General
    General
    Maths-

    Solve the following by using elimination method: 2x + y = 6 , 3y = 8 + 4x

    Solve the following by using elimination method: 2x + y = 6 , 3y = 8 + 4x

    Maths-General
    General
    Maths-

    Solve 2a – 3/b = 12 and 5a – 7/b = 1

    Solve 2a – 3/b = 12 and 5a – 7/b = 1

    Maths-General
    parallel
    General
    Maths-

    Solve the following equations by using the elimination method: x - y = 1 , 3x - y = 9

    Solve the following equations by using the elimination method: x - y = 1 , 3x - y = 9

    Maths-General
    General
    Maths-

    Solve the following system of linear equations: 2x - 4y = 6 , x - 3y = 12

    Solve the following system of linear equations: 2x - 4y = 6 , x - 3y = 12

    Maths-General
    General
    Maths-

    Solve: x - 2y = 8 , 4x + 2y = 7 by using elimination method.

    Solve: x - 2y = 8 , 4x + 2y = 7 by using elimination method.

    Maths-General
    parallel
    General
    Maths-

    2 x minus y equals negative 4
    2 x plus y equals 4
    For the solution of the system of equations above, what is the value of  ?

    Note:
    The equations can be solved in many other ways like substitution
    method which is: to eliminate one variable in any one of the
    equations with the help of other equation. As we need to find the
    value of x, we try to find the value of y in terms of x from one
    equation. Then put that value of y in the other equation to get a linear equation in one variable , which is x.

    2 x minus y equals negative 4
    2 x plus y equals 4
    For the solution of the system of equations above, what is the value of  ?

    Maths-General

    Note:
    The equations can be solved in many other ways like substitution
    method which is: to eliminate one variable in any one of the
    equations with the help of other equation. As we need to find the
    value of x, we try to find the value of y in terms of x from one
    equation. Then put that value of y in the other equation to get a linear equation in one variable , which is x.

    If E, F, G and H are respectively the mid points of the sides of a parallelogram ABCD and ar(EFGH) = 40 sq.cm , find the ar (parallelogram ABCD).

    Maths-General
    General
    Maths-

    A soft drink is available in two packs. i) a tin can with a rectangular base of length 5 cm and width 4 cm, having a height of 15 cm and ii) a plastic cylinder with circular base of diameter 7 cm and height 10 cm. Which container has greater capacity and by how much?

    A soft drink is available in two packs. i) a tin can with a rectangular base of length 5 cm and width 4 cm, having a height of 15 cm and ii) a plastic cylinder with circular base of diameter 7 cm and height 10 cm. Which container has greater capacity and by how much?

    Maths-General
    parallel

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.