An elliptical culvert is 3.9 feet tall and 6 feet wide. It is filled with water to a depth of 1.05 feet. Find the width of the stream. Give your answer accurate to 2 decimal places.

Q: A pick up truck is fitted with new tires which have a diameter of 41 inches. How fast will the pick…

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Q: A particular flower vase is in the shape of a right circular cylinder with a radius of 107 mm and a…

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Q: The State of Illinois Cycle Rider Safety Program requires motorcycle riders to be able to brake from…

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Q: At what rate is water pouring into a rectangular bathtub with base 29 ft squared  if the water level…

A: Given a rectangular bathtub with base 29 ft squared.

Q: how long does it take to cut a distance of 1 foot along a shaft that turns 150 revolutions per…

A: the tool feed covers 116inch per revolution therefore, in 150 revolutions it covers 150×116=758…

Q: The restaurant in the Space Needle in Seattle rotates at the rate of one revolution per hour (or one…

A: The restaurant in the Space Needle in Seattle rotates at the rate of one revolution per hour. And…

Q: A paint company wants to change the height of its cans of paint to 15 centimeters tall so when the…

A:

Q: A cylindrical storage tank has a depth of 3 ft and a radius measuring 2 ft. If each cubic foot can…

A: Given Depth of cylindrical tank = 3ft Radius=2ft Each cubic gasoline = 7.5 gallons

Q: A thread is being pulled off a spool at the rate of 59.4 cm per sec. Find the radius of the spool if…

A: Given The linear velocity is 59.4 cm per sec  and angular velocity is 152 revolutions per min .…

Q: A rectangular building is 15 m long by 11 m wide. A concrete path of constant width is laid all the…

A: A rectangular building is 15 m long by 11 m wide. A concrete path ofconstant width is laid all the…

Q: The circumference of a circle is 100 cm. If the radius is increased by 0.1 cm, find the approximate…

A: Follow the procedure given below the.

Q: What must be the diameter of pipe in inches which is required to carry 25 gallon per minute (gpm) of…

A: Solution :

Q: A boy is twirling a model airplane on a string 7 feet long. If he twirls the plane at 0.5…

A: Given that there are 0.5 revolutions per minute. So in 4 minutes, there are (4*0.5)= 2 revolutions

Q: An elliptical culvert is 4.1 feet tall and 8.8 feet wide. It is filled with water to a depth of 1.05…

A: The schematic of the given situation:  The cross-sectional  view of the elliptical culvert.…

Q: A spherical tank has a capacity of 750 gallons. Using the fact that one gallon is about 0.1337 ft3 ,…

A: Given Data The volume of spherical tank is V=750 gallons.   The expression for the volume of the…

Q: How many revolutions will a circular disk with a diameter of 4 feet have completed after it has…

A: Given: Diameter of Disk,D=4 feet

Q: A man 6 ft tall walks at a rate of 2 ft/sec away from a lamppost that is 17 ft high. At what rate is…

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Q: A rectangle is drawn so the width is 4 inches longer than the height. If the rectangle's diagonal…

A:

Q: The shape of a colony of bacteria on a Petri dish is circular. Find the approximate increase in its…

A: Given data: The area of the bacteria colony is "A". The radius of the bacteria colony is "r" radius…

Q: The radius of a circular baking tray is 10 cm. Find its area correct to 2 decimal places.

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Q: A school bus tire with a diameter pf 42 inches is rotating at a rate of 250 revolutions per minute.…

A: Given, The diameter of the wheel of the school bus is 42 inches, The radius of the…

Q: A 168 ft2 roll of fiberglass is 48 in. wide. What is its length in feet? (Hint: Convert to feet. Use…

A: This question is based on area of rectangle.

Q: A 25 ft ladder forms a 74° with the ground. How far from the building is the ladder placed?…

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Q: Two identical circles of largest possible area are to be cut from a rectangular piece of stock as…

A: Important Point to keep in mind  The largest circle possible will have its dia equal to smallest…

Q: To the nearest tenth of a centimeter, how tall is a cylinder with a radius of 9.4 cm and volume of…

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Q: A 11 ft11 ft ladder forms a 61∘ with the ground. How far from the building is the ladder placed?…

A: We will find the distance.

Q: A single lane street 10 ft wide goes through a semicular tunnel with radius 9 feet. How high is…

A: We will solve the problem

Q: A rectangle is drawn so the width is 6 inches longer than the height. If the rectangle's diagonal…

A: Let height of rectangle be (x)" So, width of rectangle = (x+6)" Diagonal of rectangle = 37"

Q: A gasoline-driven lawnmower has a blade that extends out 11 foot from its center. The tip of the…

A: the circumference is 2 x pi x r = 2 x pi x 11 feet = 22*pi feet   In one minute at the speed given…

Q: To the nearest tenth of a centimeter, how tall is a cylinder with a radius of 7.4cm and volume of…

A: Given:        Radius r = 7.4 cm        Volume V = 2119.5 cm3        Volume of cylinder V = πr2h…

Q: A wheel has a diameter of 100 centimeters. If the wheel is supporting a cart moving at 45 kilometers…

A:

Q: A flashlight can light a circular area of up to 6 feet in diameter. What is the maximum area that…

A: Given that the flashlight can light upto an area of 6 feet in diameter.

Q: A special stainless steel cone sits on top of a cable television antenna. The cost of the stainless…

A: volume of the given is given by   (1/3πr2h).…

Q: An automobile with 0.290 m radius tires travels 85,000 km before wearing them out. How many…

A: According to the given information:Radius of tire = 0.290 mTired travelled 85000 km before wearing…

Q: The surface area of this cone is 188.4 square feet. What is the slant height of this cone? Use A…

A: To find- slant height of the cone.

Q: A satellite, located 2400 km above Earth’s surface, is in circular orbit around the earth. If it…

A:

Q: A square baseball diamond has sides that are 90 feet long. A player is running to third base at a…

A: Solution

Q: A 17 -inch laptop has a screen that is 9 inches tall. How wide is the screen? Laptop computers are…

A: How to wide is the screen?

Q: Find the length of the longest object that will fit inside a rectangular box 10 feet long, 2 feet…

A: Given that a rectangular box 10 feet long, 2 feet wide and 3 feet high.

Q: If the radius of a circle is .8 increased from 5 cm to 5.1 cm. The approximate increase in area

A: Given that The radius of circle is increased from 5 cm to 5.1cm To find The approximate increase in…

Q: At what rate is water pouring into a rectangular bathtub with base 73 ft² if the water level rises…

A: Given : The base of rectangular bathtub = 73ft2 The rate at which water level is rising = 1.2…

Q: A cylinder has a base diameter of 16 feet and a height of 4 feet. What is its volume in cubic feet,…

A: the objective is to find the volume of the cylinder.

Q: How can you calculate the preimeter of a rectangle

A: The perimeter means the length of the outline of a shape.In order to find the perimeter of a square…

Q: An asteroid has hit the Earth and created a huge crater. Engineers and scientists have measured…

A: Circumference of crater=79.5 mi 2πr=79.5r=79.52πr=12.659 mi

Q: A man 6 ft tall walks at a rate of 5 ft/sec away from a lamppost that is 14 ft high. At what rate is…

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Q: How long would it take for a ball dropped from the top of a 144 foot building to hit the ground

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Q: Each tire of an automobile has a radius of 1.25 feet. How many revolutions per minute (rpm) does a…

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Q: A cone-shaped paper drinking cup is to be made to hold 33 cm3 of water. Find the height and radius…

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Q: A lawn mower takes 750 complete revolutions to cut grass on a field . Calculate the area of the…

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Q: Write a formula that estimates the change that occurs in the lateral surface area of a right…

A: Let the radius = rInitial height = h0final height = h0+ dh

Cylinders

A cylinder is a three-dimensional solid shape with two parallel and congruent circular bases, joined by a curved surface at a fixed distance. A cylinder has an infinite curvilinear surface.

Cones

A cone is a three-dimensional solid shape having a flat base and a pointed edge at the top. The flat base of the cone tapers smoothly to form the pointed edge known as the apex. The flat base of the cone can either be circular or elliptical. A cone is drawn by joining the apex to all points on the base, using segments, lines, or half-lines, provided that the apex and the base both are in different planes.