# A box is made from a piece of sheet of metal 12 inch square by cutting equal small squares from each corner and tuning up the edge. The dimensions of the box of largest volume which can be made in this way are

1.  2, 8, 8

2.  2, 6, 8

3.   4, 6, 8

4.  2, 4, 4

4

2, 8, 8

Explanation :
No Explanation available for this question

# An open top box of maximum possible volume from a square from piece of tin of side ‘a’ is to be made by cutting equal squares out of the corners and then folding up the tin to from the sides. The length of a side of s

1.  a/6

2.  a/4

3.   a/3

4.  a/2

4

a/6

Explanation :
No Explanation available for this question

# A rectangular sheet of dimensions 30 cm * 80 cm four equal squares of side x cm are removed at the corners, and the sides are then turned up so as to form an open rectangle box. The value of x, so that the value of the box is the

1.  20/3

2.   10/3

3.  15/2

4.  5

4

20/3

Explanation :
No Explanation available for this question

# The height of the cylinder of maximum volume which can be inscribed in a sphere of radius r is

1.   √3r

2.   r/√3

3.  2r/√3

4.   r/2√3

4

2r/√3

Explanation :
No Explanation available for this question

# The radius of right circular cylinder of maximum volume which can be inscribed in a sphere of radius r is

1.   r

2.  r/2

3.  √2/3r

4.  √3/2 r

4

√2/3r

Explanation :
No Explanation available for this question

# The maximum volume of the cylinder which can be inscribed in a sphere of radius a

1.   4πa3/3√3 cubic unit

2.  4πa3 cubic unit

3.  4πa3 /√3cubic unit

4.  None

4

4πa3/3√3 cubic unit

Explanation :
No Explanation available for this question

# The volume of the greatest cylinder which can be inscribed in a cone of height h and semi-vertical angle α is

1.  4πh3/27 tan2α

2.  4πh2tan2α

3.  4πh3/9 tan2α

4.  None

4

4πh3/27 tan2α

Explanation :
No Explanation available for this question

# The height and the radius of the base of a cylinder of maximum volume, given the sum of the height and the base of the cylinder is 3 unit are

1.  2, 2

2.   1,1

3.  10, 10

4.  None

4

1,1

Explanation :
No Explanation available for this question

# The dimensions of the greatest cylinder that can be inscribed in a sphere of radius  are

1.  2a/√3, a√2/√3

2.  2a/3, a/3

3.  a/√3, 2a/√3

4.  None

4

2a/√3, a√2/√3

Explanation :
No Explanation available for this question

# If the curved surface of a cylinder inscribed in a sphere of a radius R is a maximum, then height of the cylinder is

1.  √R

2.   √10 R

3.  √2 R

4.  R

4

√2 R

Explanation :
No Explanation available for this question

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