Mathematics
Assertion (A) : The maximum volume of a cone that can be carved out of a solid hemisphere of radius r is r3. Reason (R) : For a cone of radius r and height h, volume is given by πr2h. 1. A is true, R is false 2. A is false, R is true 3. Both A and R are true 4. Both A and R are false
Related Questions
Assertion (A) : Slant height of a cone of height 4 cm and radius 3 cm is (4 + 3) cm = 7 cm.
Reason (R) : Curved surface area of a cone of radius r and slant height l is πrl.
A is true, R is false
A is false, R is true
Both A and R are true
Both A and R are false
Assertion (A) : The total surface area of a right circular cone of slant height 13 cm and radius 5 cm is 90 π cm2.
Reason (R) : Curved surface area of a right circular cone is given by πr(l + r).
A is true, R is false
A is false, R is true
Both A and R are true
Both A and R are false
Assertion (A) : Two solid spheres of radii 2 cm and 4 cm are melted and recast into a cone of radius 6 cm. The height of the cone so obtained will be 8 cm.
Reason (R) : When we convert one solid into another, the volume of the two solids remains the same.
A is true, R is the false
A is false, R is true
Both A and R are true
Both A and R are false