Advertisements
Advertisements
Question
Choose the correct answer of the following question:
The radii of the circular ends of a bucket of height 40 cm are 24 cm and 15 cm. The slant height (in cm) of the bucket is
Options
41
43
49
51
Solution
We have,
Height of the bucket, h = 40 cm,
Radius of the upper end, R = 24 cm and
Radius of the upper end, r = 15 cm
Now,
The slant height, `l = sqrt(("R"- r)^2 + "h"^2)`
`= sqrt((24 - 15)^2+40^2)`
`= sqrt(9^2 + 40^2)`
`=sqrt(81 + 1600)`
`=sqrt(1681)`
= 41 cm
Hence, the correct answer is option (a).
APPEARS IN
RELATED QUESTIONS
A solid metallic right circular cone 20 cm high and whose vertical angle is 60°, is cut into two parts at the middle of its height by a plane parallel to its base. If the frustum so obtained be drawn into a wire of diameter 1/12 cm, find the length of the wire.
A spherical ball of iron has been melted and made into smaller balls. If the radius of each smaller ball is one-fourth of the radius of the original one, how many such balls can be made?
The height of a cone is 30 cm. A small cone is cut off at the top by a plane parallel to the base. If its volume be \[\frac{1}{27}\] of the volume of the given cone, then the height above the base at which the section has been made, is
A cylindrical vessel of radius 4 cm contains water. A solid sphere of radius 3 cm is lowered into the water until it is completely immersed. The water level in the vessel will rise by
In a village, a well with 10 m inside diameter, is dug 14 m deep. Earth taken out of it is spread all around to a width 5 m to form an embankment. Find the height of the embankment. What value of the villagers is reflected here?
Choose the correct answer of the following question:
A solid right circular cone is cut into two parts at the middle of its height by a plane parallel to its base. The ratio of the volume of the smaller cone to the whole cone is
The radius of the base of a cone is 5 cm and its height is 12 cm. Its curved surface area is
In the above figure, a sphere is placed in a cylinder. It touches the top, bottom and curved surface of the cylinder. If the radius of the base of the cylinder is ‘r’, write the answer to the following questions.
a. What is the height of the cylinder in terms of ‘r’?
b. What is the ratio of the curved surface area of the cylinder and the surface area of the sphere?
c. What is the ratio of volumes of the cylinder and of the sphere?
There is a circular pond and a footpath runs along its boundary. A person walks around it, exactly once keeping close to the edge. If his step is 66 cm long and he takes exactly 400 steps to go around the pond, find the diameter of the pond.
The surface area of a sphere is 616 sq cm. Find its radius tan β = `3/4`