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Piyush365
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Asked: 2026-10-05T09:35:03+00:00 In:

Suppose you have a cup in the shape of a right circular cone. Fill it with water to half the depth of the cone. What fraction of the volume of the cup is occupied by the water?

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At half depth, both height and radius of the water cone are half the cup’s dimensions. Since volume scales with the cube of dimensions, the water occupies (1/2)³ = 1/8 of the cup’s total volume.

Cbse Class 9 Maths Ganita Manjari Part 2 Solutions
Class 9 maths ganita manjari part 2 chapter 14 question answer

chapter 14 math of space surface area and volume solutionsdownload class 9 maths ganita manjari part 2 book and solutionsfraction of the volume of the cup is occupied by the waterncert solutions – ganita manjari part ii math of space surface area and volumeyou have a cup in the shape of a right circular cone
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    1. Let the conical cup have height H and radius R. When filled to half depth, water height is h = H/2. By similar triangles, the water surface radius is r = R/2. Water volume is Vwater = (1/3)π(R/2)²(H/2) = (1/8) × (1/3)πR²H = (1/8)Vcup. Hence, the water occupies 1/8 of the total volume of the cup.

       

      For more NCERT Solutions of Class 9 Maths Ganita Manjari Part 2 Chapter 14 Math of Space: Surface Area and Volume Question Answer (2026-27)

      https://www.tiwariacademy.com/ncert-solutions/class-9/maths/ganita-manjari-chapter-14/

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