Correct option is D
Given:
Cone height(h) = Cone radius(r)
Slant height (l) = 5 cm
Formula Used:
Volume of the cone =
Slant height =
Solution:
Let radius r = h = a cm and l = 5 cm
So,
Now,
Volume of the cone =
=
=
All Courses
Question
The volume of a cone with height equal to radius, and slant height 5 cm is :
Free Tests
Free
Must Attempt
SSC GD PYP (Held on 4 Feb 2025 S1)
English
80 Questions
160 Marks
60 Mins
EnglishFree
Must Attempt
SSC GD Constable Exam Day Based Mock 1
English- 80 Questions
- 160 Marks
- 60 Mins
EnglishFree
Must Attempt
Mathematics Section Test 1
English- 20 Questions
- 40 Marks
- 25 Mins
EnglishSimilar Questions
- 1)
A square tank holds 15,000 litres of water. If its depth is 2.5 m, find the length of one side of its base.
- 2)
A triangle ABC with sides 3 cm, 4 cm and 5 cm is revolved about the side 3 cm. Find the volume of the solid so obtained. (Use π = 3.14)
- 3)
If the areas of three adjacent faces of a cuboid are x, y, z square units, respectively, then the volume of the cuboid is:
- 4)
A cylindrical water tank has a base radius of 7 m and a height of 10 m. Water is filled into the tank at a constant rate. After filling the tank completely, 5% of the water leaks out due to a crack at the bottom. The remaining water is transferred into another cylindrical tank whose base radius is 5 m. Find the height of water in the second tank.
- 5)
A cube is painted on all faces and then cut into 27 smaller cubes of equal sizes. How many smaller cubes have exactly two faces painted ?
- 6)
A solid is in the shape of a cone mounted on a hemisphere. The radius of each is 6 cm and the total height of the solid is 14 cm . Find the surface area of the solid.
- 7)
A solid cube of 4 inches has been painted red, green and black on pair of opposite faces. It has been cut into one inch cubes. How many cubes will have only two faces painted?
- 8)
From a cuboid of dimension 10cm×5cm×2.5cm, small cubes of edge 2.5 cm are cut. How many small cubes are formed from the cuboid?
- 9)
The total surface area of a hemisphere is 4,158 . If the radius of the hemisphere becomes one-third of itself, then what will be the new curved surface area of the hemisphere? (Use π=22/7 )
- 10)
If the volume of a cone is 48π and the height is 10 cm . Find the radius of its base in nearest one decimal place.
Access ‘SSC CGL Tier I’ Mock Tests with
- 60000+ Mocks and Previous Year Papers
- Unlimited Re-Attempts
- Personalised Report Card
- 500% Refund on Final Selection
- Largest Community
446k+ students have already unlocked exclusive benefits with Test Prime!
Suggested Test Series
SSC GD Constable 2026 Mock Test
SSC GD Constable 2026 Mock Test
911 Tests + 3 Free Tests
SSC CGL (Tier 1 + Tier 2) 2026 Mock Test
SSC CGL (Tier 1 + Tier 2) 2026 Mock Test
1142 Tests + 3 Free Tests
SSC Selection Post Phase XIV 2026 Mock Test
SSC Selection Post Phase XIV 2026 Mock Test
656 Tests + 3 Free Tests
SSC Stenographer Grade C & D 2026 Mock Tests
SSC Stenographer Grade C & D 2026 Mock Tests
421 Tests + 2 Free Tests
SSC CHSL (Tier 1 + Tier 2) 2026 Mock Test
SSC CHSL (Tier 1 + Tier 2) 2026 Mock Test
1093 Tests + 3 Free Tests
Access ‘SSC CGL Tier I’ Mock Tests with
- 60000+ Mocks and Previous Year Papers
- Unlimited Re-Attempts
- Personalised Report Card
- 500% Refund on Final Selection
- Largest Community
446k+ students have already unlocked exclusive benefits with Test Prime!
Suggested Test Series
SSC GD Constable 2026 Mock Test
SSC GD Constable 2026 Mock Test
911 Tests + 3 Free Tests
SSC CGL (Tier 1 + Tier 2) 2026 Mock Test
SSC CGL (Tier 1 + Tier 2) 2026 Mock Test
1142 Tests + 3 Free Tests
SSC Selection Post Phase XIV 2026 Mock Test
SSC Selection Post Phase XIV 2026 Mock Test
656 Tests + 3 Free Tests
SSC Stenographer Grade C & D 2026 Mock Tests
SSC Stenographer Grade C & D 2026 Mock Tests
421 Tests + 2 Free Tests
SSC CHSL (Tier 1 + Tier 2) 2026 Mock Test
SSC CHSL (Tier 1 + Tier 2) 2026 Mock Test
1093 Tests + 3 Free Tests
Similar Questions
- 1)
A square tank holds 15,000 litres of water. If its depth is 2.5 m, find the length of one side of its base.
- 2)
A triangle ABC with sides 3 cm, 4 cm and 5 cm is revolved about the side 3 cm. Find the volume of the solid so obtained. (Use π = 3.14)
- 3)
If the areas of three adjacent faces of a cuboid are x, y, z square units, respectively, then the volume of the cuboid is:
- 4)
A cylindrical water tank has a base radius of 7 m and a height of 10 m. Water is filled into the tank at a constant rate. After filling the tank completely, 5% of the water leaks out due to a crack at the bottom. The remaining water is transferred into another cylindrical tank whose base radius is 5 m. Find the height of water in the second tank.
- 5)
A cube is painted on all faces and then cut into 27 smaller cubes of equal sizes. How many smaller cubes have exactly two faces painted ?
- 6)
A solid is in the shape of a cone mounted on a hemisphere. The radius of each is 6 cm and the total height of the solid is 14 cm . Find the surface area of the solid.
- 7)
A solid cube of 4 inches has been painted red, green and black on pair of opposite faces. It has been cut into one inch cubes. How many cubes will have only two faces painted?
- 8)
From a cuboid of dimension 10cm×5cm×2.5cm, small cubes of edge 2.5 cm are cut. How many small cubes are formed from the cuboid?
- 9)
The total surface area of a hemisphere is 4,158 . If the radius of the hemisphere becomes one-third of itself, then what will be the new curved surface area of the hemisphere? (Use π=22/7 )
- 10)
If the volume of a cone is 48π and the height is 10 cm . Find the radius of its base in nearest one decimal place.
