The diameter of a cylinder is 7 yards. The height is 12 yards. What is the volume in terms of π and to the nearest cubic yard of the cylinder?

Which of the following lines pass through origin?

If ax=b, by=c and cz =a then prove that xyz=1.

You can rent books at a local store for $5.00 each. An Internet company offers a flat fee of $20.00 per month for as many books as you want. How many books do you need to rent to make the online rental a better buy?

Manoj has a set of blocks that are of the same height. The cone shaped block has a volume of 125 cubic inches. The sphere-shaped block has a volume of 250 cubic inches. What do you know about the radius of the base cone – shaped block?

The slope of a line is –½ and it passes through origin. Find its equation.

A water pipe is a cylinder 30 inches long, with a radius of 1 inch. At one end of the cylinder there is a hemisphere. What is the volume of the water pipe?

The graph shows the subscription cost to a certain club in town. Write an equation of the
line. Explain what the slope and y-intercept mean in this situation. Then find the total
cost for 2 years.

Find a value for k so that the line through (k, 6) and (4, 2) is perpendicular to the line with equation x + 2y = 2.

Find a value for k so that the line through (35, k) and (42, 27) is parallel to the line with equation y = x.

Find the equation of line such that its y-intercept is 20 and slope is ½.

A line passes through the points (-6, 4) and (-2,8). Where does the line intersect the X-axis and the Y-axis?

The difference between the sides at right angles in right angled triangle is 14 cm. The area of triangle is 120 cm² . Calculate the perimeter of triangle

The ratio of the diameter and height of a cylinder is 4 : 5. Find the height of the cylinder, if its volume is 540π cubic units.

Identify the parallel lines and perpendicular lines from the given set.
2x + y = 1
9x + 3y = 6
y = 3x
y = -3x
2y = 4x +6
Y = - x/2

Carrie, a packaging engineer, is designing a container to hold 12 drinking glasses shaped as regular octagonal prisms. Her initial sketch of the top view of the base of the container is shown above.
Carrie redesigned the container because the initial sketch did not account for cushioning material between the glasses. The area of the base of the newly designed container is   greater than the area of the base in the initial sketch. What is the area, in square inches, of the base of the newly designed container?

Note:
There is a shorter way of doing this problem. There is a simple rule followed while increasing or decreasing a value by a certain percentage.  When we decrease a quantity by x%, we multiply the quantity by (1-0.x). Whereas when we increase a quantity by x%, we multiply it with (1+0.x).