A rectangular block of metal has a dimension of 21 cm, 77cm and 24 cm. The block has been melted into a sphere. Find the radius of the sphere.

Q: After a ball bounces off from the top of a hill, its velocity at t seconds is vt)-45-30t feet per…

A:

Q: Water is flowing into a conical vessel 18cm deep and having a diameter of 10cm across the top. If…

A: We have to find the rate of volume.

Q: 30. The altitude of a right circular cylinder is twice the radius of the base. The altitude is…

A: Given that the altitude of a right circular cone is twice the radius of the base, i.e.  h=2r…

Q: Water is pouring into the conical vessel 15 cm deep and having a radius of 3.75 cm across the top.…

A:

Q: A sphere has a surface area of 490 cm2. Find the radius r of the sphere. Round your answer to two…

A: *As per the guidelines, only the first question answered. Please resubmit the remaining question…

Q: A ladder 25 feet long is leaning against the wall of a house. The base of the ladder is pulled away…

A: According to the Pythagoras theorem:

Q: A right cylindrical tank has a height of 12 meters and a radius of 3 meters. Carter fills this tank…

A: Given data, Height of right cylindrical tank, h = 12 m Radius of right cylindrical tank, r = 3 m…

Q: A water tank is shaped like an inverted cone with height 6 m and base radius 1.5 m. a. If the…

A: The work done is 66.13 × 103 J

Q: 3. Find the position of the object at t = 5. Your answer 4. 4. What is the total distance traveled…

A:

Q: A conical tank with an upper radius of 4 m and a height of 5 m drains into a cylindrical tank with a…

A:

Q: Find the outside surface area. Note that the cylinder does not have a top. (Assume a - 3 cm and b= 9…

A: Area of the base is:

Q: An inverted pyramid is being filled with water at a constant rate of 30 cubic centimeters per…

A:

Q: 4. A conical-shaped reservoir has a depth of 20 feet and a radius of 10 feet. Water is leaking out…

A: Answer is option B.                      dhdt=-12ft/hr        h=8    dvdt=?

Q: Water is leaking out of an inverted conical tank at a rate of 6000.0 cm/min at the same time that…

A: Please see the below picture for detailed solution.

Q: A water tank is shaped like an inverted cone with height 18 m and base radius 3 m (see figure). If…

A:

Q: The radius of a sphere increases at a rate of 4m/sec. Find the rate at which the surface area…

A: We are authorized to solve only 1 question, please repost remaining questions Rate of change

Q: A cylindrical tank is 4/pi  m high and has a radius of 0.5 m. How much paint is needed, in cubic…

A: Since we are applying paint around the tank and its radius is changing due to the thickness of the…

Q: The radius of a sphere increases at a rate of 4m/sec. Find the rate at which the surface area…

A:

Q: 5. A circular cpne can is to be made to hold 1 liter of water. Find the radius of base that will…

A:

Q: The radius of a sphere increases at a rate of 5m/sec. Find the rate at which the surface area…

A:

Q: The radius of a sphere increases at a rate of 2m/sec. Find the rate at which the surface area…

A: R=8 Dr/dt=2

Q: In a chemistry lab students use a filter paper cone to filter a liquid. The diameter of the cone is…

A: To find: The amount of liquid cone hold when it is full. Given: The diameter of the cone is 11.5 cm,…

Q: 2. A conical reservoir is dripping water at a rate of 21 cubic feet per second (water is going out…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: An inverted pyramid is being filled with water at a constant rate of 25 cubic centimeters per…

A:

Q: A cylindrical water tank 4 meters high with a radius of 2 meters is buried so that the top of the…

A: First of all, consider water thickness as ∆y a distance of y meter from the origin. So, the radius…

Q: The radius of a circle increases at a rate of 2m/sec. Then the rate at which the area of the circle…

A: The solution is given below

Q: A conical paper cup is 10cm tall with a radius of 30cm. The cup is being filled with water so that…

A:

Q: If 8^x = 3, find the value of 2^6x A. 8                             C. 11 B. 9…

A: Topic:- algebra  Note:- as per our guideline if more than one question uploaded than only first…

Q: Postal regulations specify that a package sent by a certain shipping method may have a combined…

A: Given, combined length and girth of no more than 96 in.Assume, the length of cylindrical package is…

Q: (a) What radius produces such a disk? (Round your ansvwer to four decimal places.) 23.2621 cm (b) If…

A:

Q: Water is poured at a rate of 10 cubic meters per minute into a conical tank 6 meters across the top…

A:

Q: 11. When Anna and Tony went on a shopping spree, they started out at the nut shop. Then they crossed…

A: We need to calculate how far Anna and Tony walked.

Q: A right circular conical tank with its point down (see figure below) has a height of 4.00 m and a…

A:

Q: A company wishes to manufacture a box with a volume of 40 cubic feet that is open on top and is…

A: To find the width of the box that can be produced using the minimum amount of material.

Q: An inverted pyramid is being filled with water at a constant rate of 40 cubic centimeters per…

A: Topic = Application of Derivative

Q: 4) A spherical shaped piñata is full of bulk candy that sells for $4.99 per pound. A pound of the…

A:

Q: An inverted pyramid is being filled with water at a constant rate of 50 cubic centimeters per…

A:

Q: 8. Sand pouring from a lorry (figure) forms a conical pile whose height is always equal to the…

A: Ordinary differential equations have only one independent variable while in case of partial…

Q: A bullet is fired with muzzle velocity of 150 m/s at an angle of elevation = 45°. Gravity = 9.8…

A: Since you have posted a question having multiple sub part as per guidelines we can solve only first…

Q: A Norman window has the shape of a rectangle surmounted by a semicircle. Find the dimensions of a…

A: Here The window of perimeter=24ft Half-width of rectangle =x  width of rectangle =2x  The radius of…

Q: Answer B b. how do the dimensions of the least expensive can change if the bottom material cost…

A: (b) Given that volume of the cylinder is 100 Hence, πr2h=100h=100πr2 Hence, h=100πr2 Since, given…

Q: The radius of the sphere increases at a rate of 4 cm/sec . Find the rate at which the volume…

A: we have given the rate change in radius of a sphere.  We have to find the rate of change of volume…

Q: Q1/ A cylindrical tank of length (L) has semicircular end sections of radius (R). the tank is placed…

A:

Q: The radius of a sphere decreases at a rate of 2 m/sec. Find the rate at which the surface area…

A:

Q: A cylindrical water tank 6 meters high with a radius of 2 meters is buried so that the top of the…

A: This question is related to integration.

Q: paint manufacturer desires a cylindrical steel drum to hold 50 gal. of paint. For convenience in…

A:

Q: A water tank is shaped like an inverted cone with height 12 m and base radius 2 m (see figure). If…

A:

Q: A ladder 25 feet long is leaning against the wall of a house. The base of the ladder is pulled away…

A:

Q: 9) A vertical right circular cylindrical tank measures 24 ft high and 10 ft in diameter. It is full…

A:

Q: An inverted pyramid is being filled with water at a constant rate of 40 cubic centimeters per…

A: Given- An inverted pyramid is being filled with a constant rate of 40 cm3sec, the pyramid at the top…