Saved Bookmarks
| 1. |
Vo4G+3:20 PM -46Q 1.A cone is 8.4 cm high and the radius of its base is 2.1 cm. It is melted andrecast into a sphere. The radius of the sphere is :1) 4.2 cm2) 2.1 cm3) 2.4 cm4) 1.6 cm1. Option2. Option3. Option4. OptionAnswer:1234Al for RouiSNext |
|
Answer» Answer: Step-by-step EXPLANATION:
→ FIRST we have to find the volume of the cone → Volume of the cone is given by the formula, Volume of the cone = 1/3 × π × r² × h → Now we have to find the volume of the sphere → Volume of the sphere is given by Volume of the sphere = 4/3 × π × R³ → By given , Volume of cone = Volume of sphere → SUBSTITUTING the VALUES we get, 1/3 × π × r² × h = 4/3 × π × R³ → Cancelling 1/3 and π on both sides, r² h = 4 R³ → Substituting the values, 2.1 × 2.1 × 8.4 = 4 R³ 4 R³ = 37.044 R³ = 37.044/4 R³ = 9.261 R = ∛9.261 R = 2.1 cm → Hence the radius of the sphere is 2.1 cm → Therefore option 2 is correct. → Volume of a cone is given by, Volume of a cone = 1/3 × π × r² × h → Volume of a sphere is given by Volume of a sphere = 4/3 × π × r³ |
|