A wooden solid is made up of a cylinder with hemispherical ends. If the whole length of the solid is 84 cm and the radius of each hemispherical end is 7 cm, find the cost of polishing its surface at the rate of 50 paisa per sq. cm. (100 paisa= 1 NRs)

Q: A closed cubical box of inner edge 8cm is to be made of tin 1mm thick. Find approximately the volume…

A: Volume of cube = a^3 Where, 'a' is the length of edge of cube.

Q: A carbon nanotube is a thin cylinder of carbon atoms that, pound for pound, is stronger than steel…

A: Given: A carbon nanotube is a thin cylinder of carbon atoms that, pound for pound, is stronger than…

Q: A cylinder with a 6 inch radius is laid on its side and filled to a depth of 9 inches. The cylinder…

A:

Q: An icicle is gradually increasing in length, whilemaintaining a cone shape with a length 15 times…

A: It is given that an icicle is gradually increasing in length, while maintaining a cone shape with a…

Q: The volume of a cubic solid with side length of 4 cm is 43 cm3. True or False?

A:

Q: A circular swimming pool has a diameter of 6.4 m and is filled with water to a depth of 2.3 m. A…

A: Volume is the amount of space enclosed inside a solid. Volume of cylindrical body of radius and…

Q: An Eskimo hut is built in the form of a hemispherical shell with an inside diameter of 15 feet. If…

A: We have to find the volume of material used to build Eskimo hut. Now: Inside diameter:  d=15…

Q: with only 38.7 sqm of materials, a closed cylindrical tank of maximum volume is to be constructed ,…

A:

Q: A cylinder has a base diameter of 8ft and a height of 20ft. What is its volume in cubic ft, to the…

A: The solution is :

Q: ) About how accurately must the interior diameter of a cylindrical storage tank that is 8 m high be…

A: Given: Internal diameter of tank = d

Q: About how accurately must the interior diameter of a 10-m-high cylindrical storage tank be measured…

A:

Q: The lateral area of the right circular cylindrical water tank is 92 sq m and its volume is 360 cubic…

A: Let's find.

Q: For a right circular cylinder of height 25 ft, the radius was measured as 20 ft with an error of…

A: the volume of the right cylinder is given by the formula, V=πr2h where r is the radius of the…

Q: A cylinder has a base diameter of 6m and a height of 12m. What is its volume in cubic m, to the…

A:

Q: A cone and a cylinder both have height 48 and radius 15. Givethe ratio of their volumes without…

A: Given that,  Cone and Cylinder both have height 48 and radius 15. To find the ratio of their volumes…

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 colony of 2 to the power 120 bacteria occupies a total volume of 1.3x10 to the power 15m cubed.…

A:

Q: A conical tank with a height twice its diameter can hold water up to 1000 gal. A 2”-radius hole was…

A: Given: A conical tank with a height twice its diameter can hold water up to 1000 gal. A 2”-radius…

Q: A cylindrical vessel of diameter 14 cm and height 42 cm is fixed symmetrically inside a similar…

A:

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

A: Given- A cylindrical stroage tank has a depth of 5 ft and radius m,easuring 2 ft. To find- The total…

Q: A cylinder has a base radius of 4m and a height of 6m. What is its volume in cubic m, to the nearest…

A: Volume is the space covered by the object or any geometric figure in a three dimensional space. It…

Q: If a spherical tank 4 m in diameter can be filled with a liquid for $800, find the cost to fill a…

A:

Q: A chain lying on the ground is 10 m long and its mass is80 kg. How much work is required to raise…

A:

Q: a mountain cabin has a single room 20ft. by 10ft. by 8ft. what is the total volume of air in the…

A:

Q: A railway cut 200 ft long and 30 ft wide at the bottom is made with a sloping sides, which are 80ft…

A:

Q: a square park of length 40 m has a concentric square with sides 35 m inside it find the cost of…

A: find the cost of cementing the space between them if the rate of cementing is rs 50 per sq m.

Q: The surface of a hemispherical dome whose diameter is 36ft. is to be covered with gold leaf which…

A:

Q: Two identical cylinders are tightly packed side by side in a box 12 cm by 6 cm and 4 cm height. Find…

A: To determine the ratio of the volume of the box to the volume of the cylinders.

Q: Find the cost of fencing a rectangular park 300 m long and 200 m wide at the rate of $4 per metre

A:

Q: A cylinder has a base radius of 3m and a height of 17m. What is its volume in cubic m, to the…

A:

Q: A steel column carrying a load of 10,000 pounds has a diameter if 10 inches. What is the pressure on…

A: Given,

Q: A cylindrical can containing pieces of fruit is filled to the top with syrup before being sealed.…

A: Given that area of the base of the cylindrical can is 75 cm² and the height of the can is 10 cm. 110…

Q: A cylindrical bucket is 24 cm tall and has a radius of 5 cm. Approximately, what is the bucket's…

A:

Q: A reservoir shaped like a right-circular cone, point down, 20 ft across the top and 8 ft deep, is…

A: Given: A reservoir shaped like a right-circular cone, point down, 20 ft across the top and 8 ft…

Q: The curved surface area of a cylindrical pillar is 264 m^2 and its volume is 924 m^3. Find the ratio…

A:

Q: A mountain cabin has a single room 20 ft by 10 ft by 9 ft high. What is the total volume (in ft3) of…

A: From the given information, it is observed that the dimension of the room is 20 ft × 10 ft × 9 ft.…

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 cylinder has a base radius of 7m and a height of 14m. What is its volume in cubic m, to the…

A:

Q: A cylindrical vessel of diameter 14 cm and height 42 cm is fixed symmetrically inside a similar…

A:

Q: A 16-inch diameter pizza has a cheese-filled end part that is 1-inch wide. If the pizza is divided…

A: Radius = diameter/2 i.e. radius is half of diameter. Area of circle= πr2( r is radius)

Q: The height of a right circular cylinder is 1.5 times the radius of the base. What is the ratio of…

A: We know that the for a cylinder with radius r and height h, Total surface area is 2πrr+h. Lateral…

Q: A horizontal cylindrical tank of length 15 m and diameter 2 m is half-full of water. How much work…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: An excavation of 60 meters long and 10 meters wide at the bottom is made with 25 meters and 20…

A:

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 room is 15m long 12m wide and 5m high.it has two door each measuring 2m by 1.2m and three windows…

A:

Q: A conical container of radius 9 ft and height 36 ft is filled to a height of 32 ft of a liquid…

A: the centre of mass  of a uniform solid right circular cone if height h lies on the axis of symmetry…

Q: A cylinder has a base radius of 6ft and a height of 18ft. What is its volume in cubic ft, to the…

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Q: At average rates, how long would it take to completely remove 15 cm of soil? 8.

A: Given-    Average rate of cropland  erosion =6mm decade         Average rate of soil formation…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.