Find the volume of the right circular cone with:
(i) radius 6 cm, height 7 cm
(ii) radius 3.5 cm, height 12 cm
(i) 264 cm³ (ii) 154 cm³
Find the capacity in litres of a conical vessel with:
(i) radius 7 cm, slant height 25 cm
(ii) height 12 cm, slant height 13 cm
(i) 1.232 l (ii) 11/35 l
The height of a cone is 15 cm. If its volume is 1570 cm³, find the radius of the base.
10 cm
If the volume of a right circular cone of height 9 cm is 48π cm³, find the diameter of its base.
8 cm
A conical pit of top diameter 3.5 m is 12 m deep. What is its capacity in kilolitres?
38.5 kl
The volume of a right circular cone is 9856 cm³. If the diameter of the base is 28 cm, find:
(i) height of the cone
(ii) slant height of the cone
(iii) curved surface area of the cone
(i) 48 cm (ii) 50 cm (iii) 2200 cm²
A right triangle ABC with sides 5 cm, 12 cm and 13 cm is revolved about side 12 cm. Find the volume of the solid so obtained.
100π cm³
If the triangle ABC in Question 7 above is revolved about the side 5 cm, then find the volume of the solid so obtained. Find also the ratio of the volumes of the two solids obtained in Questions 7 and 8.
240π cm³; 5 : 12
A heap of wheat is in the form of a cone whose diameter is 10.5 m and height is 3 m. Find its volume. The heap is to be covered by canvas to protect it from rain. Find the area of the canvas required.
86.625π m³, 99.825 m²