A solid is in the form of a cone with vertical height \( h \) that is mounted on the top base ... VIDEO
A solid is in the form of a cone with vertical height \( h \) that is mounted on the top base of a right circular cylinder with height \( \frac{1}{3} \mathrm{~h} \). The circumference of the base of the cone and that of the cylinder are both equal to \( c \). If \( v \) be the volume of the solid, prove that
\[
c=\sqrt{\frac{6 \pi v}{h}}
\]
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live
Other Videos By PW Solutions 2023-07-14 A right circular cylinder of radius \( \mathrm{r} \mathrm{cm} \) and height \( \mathrm{h} \) \( ... 2023-07-14 The cross-section of an ice-cream cone consists of a cone surmounted by a hemisphere, as shown i... 2023-07-14 If a solid is converted from one shape to another, the volume of the new shape will
a. increase
... 2023-07-14 A cylindrical pencil sharpened at both the edges is the combination of
a. a cone and a cylinder
... 2023-07-14 A right circular cone is cut off by a plane parallel to its base and then the cone that is forme... 2023-07-14 The rainwater from a roof of dimensions \( 22 \mathrm{~m} \times 20 \mathrm{~m} \) is transferre... 2023-07-14 If a solid right circular cone of height \( 24 \mathrm{~cm} \) and base radius \( 6 \mathrm{~cm}... 2023-07-14 A sphere of diameter \( 5 \mathrm{~cm} \) is dropped into a cylindrical vessel partly filled wit... 2023-07-14 A conical vessel of radius \( 6 \mathrm{~cm} \) and height \( 8 \mathrm{~cm} \) is completely fi... 2023-07-14 A metallic sphere of diameter \( 3 \mathrm{~cm} \) has been recasted into a wire of thickness \(... 2023-07-14 A solid is in the form of a cone with vertical height \( h \) that is mounted on the top base ... 2023-07-14 The radius and height of a right circular cone is \( 7 \mathrm{~cm} \) and \( 24 \mathrm{~cm} \)... 2023-07-14 A right circular cone having radius, \( \mathrm{r} \) is cut by a plane parallel to the base a... 2023-07-14 A cone is divided into two parts by drawing a plane parallei to the base through a point which d... 2023-07-14 A man donates 5 aluminium buckets to an orphanage. The buckets of height \( 16 \mathrm{~cm} \) a... 2023-07-14 A triangle \( P Q R \) is right angled at \( P . P Q=12 \mathrm{~cm} \) and \( P R=16 \mathrm{~c... 2023-07-14 If \( \mathrm{r}, \mathrm{h}, \mathrm{c}, \mathrm{v} \) are radius, height, curved surface area ... 2023-07-14 A field is \( 80 \mathrm{~m} \) long and \( 50 \mathrm{~m} \) broad. In one corner of the field,... 2023-07-14 In the following figure, from a rectangular region \( A B C D \) with \( A B=20 \mathrm{~cm} \),... 2023-07-14 A right circular cone is divided by a plane parallel to its base into a small cone of volume \( ... 2023-07-14 An exhibition tent is in the form of a cylinder surmounted by a cone. The height of the tent abo...