A weather balloon is rising vertically at the rate of $5$ meters per second. An observer is standing on the ground $300$ meters from where the balloon was released. At what rate is the distance between the observer and the balloon changing when the balloon is $400$ meters high?

A regular square pyramid with a base edge of 4 meters is inscribed in a cone with a height of 6 meters. Use the dimensions of the pyramid to find the volume of the cone.

Find the volume of a trough 5 meters long whose ends are equilateral triangles, each of whose sides has a length of 2 meters.

A shipwreck is 300 meters away from a diving station. An undersea explorer travels away from the station at a speed pf 2 meters per second. The explorer is x meters away from the station and will reach the shipwreck in 100 seconds. What is the value of x?

A playground sandbox is 3.5 meters width 2.5 meters long, and 0.3 meter deep. It is filled to the top with sand. What is the volume of the sand in the sandbox?

For this item, find the volume of a cone having a base circumference of $36 \pi$ meters and height of 12 meters. Leave your answer in terms of $\pi$.

The scouts find that the shorter flagpole casts a shadow that is $8$ meters long. The taller flagpole casts a shadow that is $12$ meters long. The shorter flagpole is $12$ meters tall. Find the height of the taller flagpole. Write your answer using a complete sentence.

A rectangular playing field with a perimeter of 100 meters is to have an area of at least 500 square meters. Within what bounds must the length

A cylinder has a surface area of 1850 square meters and a radius of9 meters. Estimate the volume ofthe cylinder to the nearest whole number

Find a trinomial $A(x)$ that represents the area of a parallelogram whose base is $3 x+2$ meters and whose height is $2 x+3$ meters. Find $A(3)$.

The area of a rectangular patio is 12$\frac{3}{8}$ square meters. The width of the patio is 2$\frac{3}{4}$ meters. What is the length?

In order to compete in America's Cup sailboat race, a boat must satisfy the rule which is given by the expression: $\frac{l+1.25 \sqrt{s}-9.8 \sqrt[3]{d}}{0.679} \leq 24$ where l is the length (in meters) of the boat, s is the area (in square meters) of the sails, and d is the volume (in cubic meters) of water displaced by the boat. If a boat has a length of 20 meters and a sail area of 300 square meters, what is the minimum allowable value for d?

The area of a triangle can be expressed as $4 x^2-2 x-6$ square meters. The height of the triangle is x + 1 meters. Find the length of the base of the triangle.

A submarine travelling 200 meters below the surface of the ocean increases its depth by 45 meters. Adam says that the new location of the submarine is -155 meters. Describe an error Adam could have made that would result in the answer he gave.