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Question
Find the volume of a cone if the radius of its base is 1.5 cm and its perpendicular height is 5 cm.
Solution
Radius of the cone, r = 1.5 cm
Height of the cone, h = 5 cm
∴ Volume of the cone, V = \[\frac{1}{3}\pi r^2 h = \frac{1}{3} \times \frac{22}{7} \times \left( 1 . 5 \right)^2 \times 5 =\] 11.79 cm3
Thus, the volume of the cone is 11.79 cm3.
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Assertion (A)
The curved surface area of a cone of base radius 3 cm and height 4 cm is 15π cm2.\
Reason (R)
Volume of a cone = πr2h
- Both Assertion (A) and Reason (R) are true and Reason (R) is a correct explanation of Assertion (A).
- Both Assertion (A) and Reason (R) are true but Reason (R) is not a correct explanation of Assertion (A).
- Assertion (A) is true and Reason (R) is false.
- Assertion (A) is false and Reason (R) is true.
Two cubes, each of volume 64 cm3, are joined end to end. Find the total surface area of the resulting cuboid.
If the side of a cube is 5 cm, then find its volume.
Volumes of two spheres are in the ratio 64 : 27. The ratio of their surface areas is ______.
If the length of the diagonal of a cube is `5sqrt(3)` cm, find the total surface area.
Length of the diagonal of the cube = `square`
So, `square` = `5sqrt(3)`
⇒ Side = `square`
Total surface area of cube = `square`
= `square` × `square` × `square`
= `square` cm2
Hence, the total surface area is `square`.
