Advertisements
Advertisements
प्रश्न
Find the maximum volume of a cone that can be carved out of a solid hemisphere of radius r cm.
उत्तर
For the volume of cone to be largest, h = r cm
Volume of the cone
=
=
=
APPEARS IN
संबंधित प्रश्न
Find the surface area of a sphere of radius 10.5 cm.
Find the total surface area of a hemisphere of radius 10 cm. [Use π = 3.14]
The radius of a spherical balloon increases from 7 cm to 14 cm as air is being pumped into it. Find the ratio of surface areas of the balloon in the two cases.
Find the surface area of a sphere of radius 10.5 cm .
The surface area of a sphere is 5544
The dome of a building is in the form of a hemisphere. Its radius is 63 dm. Find the cost of
painting it at the rate of Rs. 2 per sq. m.
A wooden toy is in the form of a cone surmounted on a hemisphere. The diameter of the base
of the cone is 16 cm and its height is 15 cm. Find the cost of painting the toy at Rs. 7 per 100
A hemi-spherical dome of a building needs to be painted. If the circumference of the base of
the dome is 17.6 cm, find the cost of painting it, given the cost of painting is Rs. 5 per l00
How many balls each of radius 1 cm can be made by melting a bigger ball whose diameter is 8 cm?
The cross-section of a tunnel is a square of side 7 m surmounted by a semi-circle as shown in the adjoining figure. The tunnel is 80 m long.
Calculate:
- its volume,
- the surface area of the tunnel (excluding the floor) and
- its floor area.
If a solid sphere of radius r is melted and cast into the shape of a solid cone of height r, then the radius of the base of the cone is
The ratio between the volume of a sphere and volume of a circumscribing right circular cylinder is
A hemispherical and a conical hole is scooped out of a.solid wooden cylinder. Find the volume of the remaining solid where the measurements are as follows:
The height of the solid cylinder is 7 cm, radius of each of hemisphere, cone and cylinder is 3 cm. Height of cone is 3 cm.
Give your answer correct to the nearest whole number.Taken
Find the surface area and volume of sphere of the following radius. (π = 3.14 )
9 cm
Find the surface area of a sphere, if its volume is 38808 cubic cm.
How many lead balls of radii 1 cm each can be made from a sphere of 8 cm radius?
Find the volume and surface area of a sphere of diameter 21 cm.
There is a ratio 1: 4 between the surface area of two spheres, find the ratio between their radius.
The internal and external diameters of a hollow hemispherical vessel are 20 cm and 28 cm respectively. Find the cost to paint the vessel all over at ₹ 0.14 per cm2
A manufacturing company prepares spherical ball bearings, each of radius 7 mm and mass 4 gm. These ball bearings are packed into boxes. Each box can have maximum of 2156 cm3 of ball bearings. Find the:
- maximum number of ball bearings that each box can have.
- mass of each box of ball bearings in kg.
(use π = )