The seniors at our high school decided to play a prank on the principal by completely filling his office with basketballs. To determine the number of basketballs needed the students measured the room after moving out the furniture. If the room measured 15 ft by 20 ft by 10 ft, approximately how many basketballs did the students put in the principal’s office? The basketballs had a diameter of 9.2 inches. (Volume of sphere = (4/3)Πr3)

Q: 8. A sculpture garden is planning to construct a rectangular reflecting pool that measures 3 yards x…

A: Concept: The water holding capacity of the pool is equal to the volume of the pool as the pool is in…

Q: The area of a regular 11-gon is approximately 2706.67/ square mm. Find the perimeter if the apothem…

A: *to find:- The perimeter of the polygon, P=? *given;- Area of the polygon, A = 2706.67 mm^2 Length…

Q: Patrick wants to hang up a poster that is 1 3/4 feet wide and 2 5/8 feet long. How much wall space…

A:

Q: Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's rule to approximate the integral In(æ) dz…

A:

Q: If a spherical tank 6 m in diameter can be filled with a liquid for $600, find the cost to fill a…

A:

Q: the top of a table is a parllelogram with a base of 28cm and a height of 20cm . patty wants to cover…

A: From the given information, the area of the top of the table is, 28 cm×20 cm=560 cm2.

Q: Marcia needs to cover a section of her bathroom cabinet with shelf paper. The bottom of the cabinet…

A: Given : Marcia covers a section of her bathroom cabinet with shelf paper. The bottom of the cabinet…

Q: Isabella's sandpit measures 4 ft by 3.5 ft by 2 ft. Her parents go to the store to buy bags of sand…

A:

Q: Jill’s front door is 42” wide and 84” tall. She purchased a circular table that is 96 inches in…

A: Given that the door is 42” wide and 84” tall. So the longest gap between that door is along with its…

Q: A man is tiling a tabletop using rectangular and square plastic tiles. He uses a pattern like that…

A: Given that, the dimension of the rectangular tile A is 15×5 and the dimension of the square tile B…

Q: Living room: 15'0"x18'0" Foyer: 6'0"x7'6" Study: 9'0"x15'0" Master Bedroom: 12'0"x13'6" If…

A: We know that, 1 foot= 1/3 yards Therefore, 15'= 15÷3= 5 yards 18'= 18÷3= 6 yards Therefore, Area=…

Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.