The wheels of a bicycle have radius 15 cm and are rotating at 140 rpm. Find the  speed of the bike in meters per second.

Q: Find the angle of the largest right circular cone which can be inscribed in a sphere of radius 9…

A: We have to find the angle of the largest right circular cone which can be inscribed in a sphere of…

Q: A machinist is required to manufacture a circular metal disk with area 1000 cm

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Q: A metallic sphere of radius 4.2 cm is melted and recast into the shape of a cylinder of radius 6 cm…

A:

Q: A solid metal cylinder with radius 6 cm and height 18 cm is melted down and recast as a solid cone…

A: Given: radiusr and heighth of cylinder is 6cm and 18cm respectively Now, we know that if a solid…

Q: A semi – circle of radius 14 cm is bent to form a rectangle whose length is 1 cm more than its…

A:

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: Can a cone with a diameter of 1 foot fit in a box that is one foot cubed?  Why or why not?

A: The box is 1 foot cubed. Means all sides are of length 1.

Q: Find the total surface area of the cone whose radius is 70 meters and slant height is 10 meters.

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Q: Part of a security fence is built 2.5 m from a cylindrical storage tank whose diameter is 11.2 m.…

A: In order to between the tank and part of fence, formula for area of a sector has to be used. Area of…

Q: Find the surface area of a square pyramid whose side length of the base is 9 cm and has a slant…

A:

Q: Find the perimeter of a segment of a circle whose boundaries are a chord measuring 24 mm…

A: Given: From the given information, we can draw the following figure, Where, mAB^=30 mmLength of…

Q: A cylindrical storage tank has a depth of 5 ft and a radius measuring 2 ft. If each cubic foot can…

A: Given that Height of cylindrical tank is 5 ft. Radius of the cylindrical tank is 2 ft.   It is known…

Q: A cylindrical glass 5 inches in diameter and 8 inches in altitude is filled with iced tea. It is…

A: Given: A cylindrical glass 5 inches in diameter and 8 inches in altitude is filled with iced tea. To…

Q: A railroad rail is I kilometer long and it expands on a hot day 10 centimeters in length.…

A: please see the next step for solution

Q: Is there more wood in a 40-foot-high tree trunk with a radius of 2.5feet or in a 50-foot-high tree…

A: Given:

Q: A right circular frustum of a cone has diameters of 10m and 6m respectively. If its slant height is…

A: Given, Diameters of the right circular frustum of a cone are 10m and 6m respectively Slant height =…

Q: Find the radius of the largest conical tent that can be constructed having a slant height of 10…

A: The slant height of the tent is 10 inches. Assume the height of the cone is h and radius of the cone…

Q: A cylinder with radius 7 has total area 168π cm2 Find its height.

A: Given: A cylinder with radius 7 has total area 168π cm2 To determine: Height of the cylinder.

Q: What is the radius, to the nearest tenth, of a can of beans with volume 625 ml and height 5 cm?

A: A can of beans has the shape of a cylinder. We want to find the volume.1ml = 1cm3        volume of…

Q: A car has wheels are 80 cm in diameter.How many complete revolutions does each wheel make in 10…

A:

Q: 1. Part of a security fence is built 2.5 m from a cylindrical storage tank whose diameter is 11.2 m.…

A: As per our guidelines, we can solve only one question at a time. Rest can be reposted..

Q: A cylinder with radius 7 feet and height 12 feet is shown.

A: Our Aim is to tell the volume of cylinder having radius 7 feet and height 12 feet.

Q: An old, elliptical arch bridge is built across a one-lane highway. The arch is 20 feet across and…

A:

Q: A 20-m-long, 50-kg chain hangs vertically from a cylinder attached to a winch. How much work is…

A: Consider the provided information, To compute the work by using the formula, w=∫0LρgL-ydy Let y=0 be…

Q: What is the length of radius AC in centimeters?

A:

Q: Find the volume of an oblique cylinder whose base radius measures 6 cm. if the line connecting the 2…

A:

Q: A ball is thrown at an downward angle of 36.3 deg. from the horizontal at 43.4 m/s from a height of…

A: Explanation: Given that,  h = 36.9 m Downward angle: θ=36.3° vo=43.4 m/s   Concept Used: Horizontal…

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

A:

Q: What kind of shape is created from the cross section seen here on the square pyramid?

A: A cross section is the shape we get when cutting straight through an object. The examples for…

Q: A cylindrically-shaped paper drinking cup is to be made to hold 27 cm³ of water. Find the height and…

A:

Q: The light truck with manual transmission has a circular brake drum with a diameter of 320 mm. Each…

A: Given data: The given diameter is d=320 mm. The given arc length of the brake pad is l=309 mm. The…

Q: A trough, 10 ft long, has semi-elliptical ends which are 3 feet deep and 4 feet wide. If the trough…

A:

Q: A Christmas ball of 3cm radius is to be partially covered with gold leaf so that the covered fringe…

A: We have to find the area of sphere to be painted

Q: What is the cross section perpendicular to the base of a cone?

A: To find the cross section perpendicular to the base of a cone

Q: An angle iron 43.5 inches long has two drilled holes that are equally spaced from the center of the…

A: Given, an angle iron 43.5 inches long has two drilled holes that are equally spaced from the center…

Q: What is the surface area of a square pyramid with base side length of 15 cm and slant height of 5…

A: The objective is to find the surface area of a square pyramid

Q: A pile of sand is in the form of a right circular cone of altitude 7 feet and slant height 25 feet.…

A: Given  The right circular cone  altitude 7 feet and slant height 25 feet . The sand weighs 107.5 lb…

Q: Two circles have radii of 6 cm and 8 cm and their centers are 20 cm apart. Find the length of the…

A: On solving this we will get

Q: An inverted conical tank is 10 feet high and 7 feet in radius. Water, which weighs 9800 Newtons per…

A: An inverted conical tank is 10 feet high and 7 feet in radius. Water, which weighs 9800 Newtons per…

Q: A conical vessel  whose internal radius is 5 cm and height is 24 cm is full of water. The water is…

A:

Q: A railroad rail is I kilometer long and it expands on a hot day 10 centimeters in length.…

A: To find the height of the centre of the rail rise above the ground.

Q: Find the height of a circular cone having a slant height of √(10x ) and a base diameter of 2x

A:

Q: 3. A railroad rail is 1 kilometer long and it expands on a hot day 10 centimeters in length.…

A: Consider the following figure For a small angle x in radians tanx≈sinx≃x Use this to create an…

Q: A spherical water tank has a radius of 31 feet is being replaced with a cylinder tank with the same…

A:

Q: Find the altitude (in inches) of the largest cylinder that can be inscribed in a right circular cone…

A:

Q: Suppose that you just completed a nonstop bicycle trip of 5.5 km. You know that each wheel of your…

A: Given Data: The distance covered by the bicycle is: d=5.5 km=5500 m The radius of the wheels of a…