Question

Draw the figure
Water is pouring into a conical cistern at the rate of 8 cubic feet per minute. If the height of the invertedcone is 12 feet and the radius of its circular opening is 6 feet:

Answer 1

To draw the figure, follow these steps:

1. Draw a vertical line to represent the height of the conical cistern. Label it as 12 feet.

2. At the top of the vertical line, draw a large circle to represent the circular opening of the cistern. Label the radius as 6 feet.

3. Connect the top of the vertical line to the perimeter of the circle using a curved line. This line should be slanted and gradually widen as it approaches the circle, representing the sides of the inverted cone.

4. At the bottom of the vertical line, draw a small circle to represent the bottom of the cone. This circle should have a radius smaller than 6 feet, as the cone narrows towards the bottom.

5. Fill the space between the two circles with slanted lines to represent the water pouring in. These lines should be curved and slanted downward, representing the shape of the water filling up the cone.

6. Label the given information on the drawing: the rate of water pouring in as 8 cubic feet per minute.

7. Optional: you can color in the figure to make it more visually appealing. Consider shading the cone to differentiate it from the water.

Remember to accurately represent the dimensions and proportions of the figure.