IEO Level 2- English Olympiad (SOF) Class 4 Coaching Programs
β³ π― Online Tests (3 Tests [35 Questions Each]): NTA Pattern, Analytics & Explanations
Click Here to View & Get Complete Material
Rs. 210.00
3 Year Validity (Multiple Devices)
π Study Material (101 Notes): 2024-2025 Syllabus
Click Here to View & Get Complete Material
Rs. 250.00
3 Year Validity (Multiple Devices)
π― 240 MCQs (& PYQs) with Full Explanations (2024-2025 Exam)
Click Here to View & Get Complete Material
Rs. 200.00
3 Year Validity (Multiple Devices)
CBSE Class 10- Mathematics: Chapter β 13 Surface Areas and Volumes Part 7
Unless stated otherwise, take .
Question 2:
A solid is in the shape of a cone standing on a hemisphere with both their radii being equal to and the height of the cone is equal to its radius. Find the volume of the solid in terms of .
Answer:
Abbreviation: Curved Surface Area TSA Total Surface Area
For hemisphere, Radius
For cone, Radius of the base
Height
Volume of the solid V of hemisphere of cone
Question 3:
A pen stand made of wood is in the shape of a cuboid with four conical depressions to hold pens. The dimensions of the cuboid are by by . The radius of each of the depressions is and the depth id . Find the volume of wood in the entire stand (see figure) .
Answer:
Volume of the cuboid
Volume of conical depression
Volume of four conical depressions
Volume of the wood in the entire stand
Unless stated otherwise, take .
Question 4:
A metallic sphere of radius is melted and recast into the shape of a cylinder of radius . Find the height of the cylinder.
Answer:
Abbreviation: CSA Curved Surface Area TSA Total Surface Area
For sphere, Radius
Volume
For cylinder, Radius
Let the height of the cylinder be .
Then, Volume
According to question, Volume of sphere Volume of cylinder
Question 5:
Metallic spheres of radii , and 1 respectively are melted to form a single solid sphere. Find the radius of the resulting sphere.
Answer:
Let the volume of resulting sphere be .
According to question,