volume and surface area of solid Archives - Page 5 of 12

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Deepak BoraNewbie

Asked: August 12, 2020In: CBSE

A solid metallic right circular cone 20 cm high and whose vertical angle is 60°, is cut into two parts at the middle of its height by a plane parallel to its base. If the frustum so obtained be drawn into a wire of diameter 112 cm, then find the length of the wire.

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In the given problem shape of the object is frustum to find answer of this question need to use frustum ...Read more

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Deepak BoraNewbie

Asked: August 12, 2020In: CBSE

The height of a right circular cone is 20 cm. A small cone is cut off at the top by a plane parallel to the base. If its volume be 18 of the volume of the given cone, then at what height above the base is the section made?

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This is the HOTS question from RS Aggarwal book, problem number 18, page number 824, exercise 17C, chapter volume and ...Read more

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Deepak BoraNewbie

Asked: August 12, 2020In: CBSE

A solid cone of base radius 10 cm is cut into two parts through the midpoint of its height, by a plane parallel to its base. Find the ratio of the volumes of the two parts of the cone.

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This question was asked in 2013 cbse board exam. Problem from RS Aggarwal book, problem number 17, page number 824, exercise ...Read more

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Deepak BoraNewbie

Asked: August 12, 2020In: CBSE

The perimeters of the two circular ends of a frustum of a cone are 48 cm and 36 cm. If the height of the frustum is 11 cm, then find its volume and curved surface area.

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This is one of the important question from the cbse board exam point of view because in 2014 cbse board ...Read more

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Deepak BoraNewbie

Asked: August 12, 2020In: CBSE

A tent consists of a frustum of a cone, surmounted by a cone. If the diameter of the upper and lower circular ends of the frustum be 14 m and 26 m, respectively, the height of the frustum be 8 m and the slant height of the surmounted conical portion be 12 m, find the area of the canvas required to make the tent.

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Assume that the radii of the upper circular end of the frustum and the base of the surmounted conical portion ...Read more

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Deepak BoraNewbie

Asked: August 12, 2020In: CBSE

A tent is made in the form of a frustum of a cone surmounted by another cone. The diameters of the base and the top of the frustum are 20 m and 6 m, respectively, and the height is 24 m. If the height of the tent is 28 m and the radius of the conical part is equal to the radius of the top of the frustum, find the quantity of canvas required.

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This problem is the combination of two CONE shape. To find answer of this question we need to use volume ...Read more

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Deepak BoraNewbie

Asked: August 12, 2020In: CBSE

The radii of the circular ends of a solid frustum of a cone are 33 cm and 27 cm and its slant height is 10 cm. Find its total surface area.

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In this problem use π=3.14. This question was asked in 2012 cbse board exam. Question from RS Aggarwal book chapter volume ...Read more

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Deepak BoraNewbie

Asked: August 12, 2020In: CBSE

The radii of the circular ends of a bucket of height 15 cm are 14 cm and r cm (r < 14). If the volume of bucket is 5390 cm³ , then find the value of r

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This question was asked in 2011 cbse board exam. Question from RS Aggarwal book chapter volume and surface area of ...Read more

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Deepak BoraNewbie

Asked: August 12, 2020In: CBSE

A bucket is in the form of a frustum of a cone and it can hold 28.49 liters of water. If the radii of its circular ends are 28 cm and 21 cm, then find the height of the bucket

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This is one of the important question from the cbse board exam point of view because in 2009 cbse board ...Read more

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Deepak BoraNewbie

Asked: August 12, 2020In: CBSE

A container in the shape of a frustum of a cone having diameters of its two circular faces as 35 cm and 30 cm and vertical height 14 cm, is completely filled with oil. If each cm 3 of oil has mass 1.2 g, then find the cost of oil in the container if it costs 40 per kg.

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This question was asked in 2009 cbse board exam. Problem from RS Aggarwal book, problem number 10, page number 823, exercise ...Read more

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