Advertisements
Advertisements
Question
If the areas of circular bases of a frustum of a cone are 4 cm2 and 9 cm2 respectively and the height of the frustum is 12 cm. What is the volume of the frustum?
Solution
Area of circular bases of frustum is
`A_1 = 4 cm^2`
`A_2 = 4 cm^2`
The height of frustum h = 12 cm
Now, the volume of frustum
`V = h/3{A_1 + A_2 + sqrt(A_1 A_2)}`
`=12/3 {4 + 9 + sqrt(4 xx 9)}`
`=4 {13 + 6}`
`V = 76 cm^3`
APPEARS IN
RELATED QUESTIONS
A metal container, open from the top, is in the shape of a frustum of a cone of height 21 cm with radii of its lower and upper circular ends as 8 cm and 20 cm respectively. Find the cost of milk which can completely fill the container at the rate of Rs 35 per litre.\[\left[ Use \pi = \frac{22}{7} \right]\]
A bucket is in the form of a frustum of a cone and holds 28.490 litres of water . The radii of the top and bottom are 28 cm and 21 cm respectively . Find the height of the bucket .
A hemisphere and a cone have equal bases. If their heights are also equal, then what is the ratio of their curved surfaces?
A cylinder and a cone are of the same base radius and of same height. Find the ratio of the value of the cylinder to that of the cone.
A right triangle with sides 3 cm, 4 cm and 5 cm is rotated about the side of 3 cm to form a cone. The volume of the cone so formed is
In a right circular cone , the cross-section made by a plane parallel to the base is a
A hemisphere of lead of radius 9 cm is cast into a right circular cone of height 72 cm. Find the radius of the base of the cone.
An oil funnel made of tin sheet consists of a 10 cm long cylindrical portion attached to a frustum of a cone. If the total height is 22 cm, diameter of the cylindrical portion is 8 cm and the diameter of the top of the funnel is 18 cm, then find the area of the tin sheet required to make the funnel.
The base radii of two circular cones of the same height are in the ratio 3 : 5. The ratio of their volumes are ______.
A milk container of height 16 cm is made of metal sheet in the form of a frustum of a cone with radii of its lower and upper ends as 8 cm and 20 cm respectively. Find the cost of milk at the rate of Rs. 22 per litre which the container can hold.
