Advertisements
Advertisements
प्रश्न
From a solid right circular cylinder with height 10 cm and radius of the base 6 cm, a right circular cone of the same height and same base is removed. Find the volume of the remaining solid.
उत्तर
Given, Height of the cylinder (h) = 10 cm
And radius of the base (r) = 6 cm
∴ Volume of the cylinder = πr2h
Height of the cone = 10 cm
And radius of the base of cone = 6 cm
∴ Volume of the cone = `1/3pir^2h`
∴ Volume of the remaining part
= `pir^2h - 1/3pir^2h`
= `2/3pir^2h`
= `2/3 xx 22/7 xx 6 xx 6 xx 10 cm^3`
= `44/21 xx 360`
= `(44 xx 120)/7 cm^3`
= `5280/7`
= `754 2/7 cm^3`
APPEARS IN
संबंधित प्रश्न
A patient in a hospital is given soup daily in a cylindrical bowl of diameter 7 cm. If the bowl is filled with soup to a height of 4 cm, how much soup the hospital has to prepare daily to serve 250 patients?
`["Assume "pi=22/7]`
A metal container in the form of a cylinder is surmounted by a hemisphere of the same radius. The internal height of the cylinder is 7 m and the internal radius is 3.5 m.
Calculate:
- the total area of the internal surface, excluding the base;
- the internal volume of the container in m3.
What length of solid cylinder 2 cm in diameter must be taken to recast into a hollow cylinder of external diameter 20 cm, 0.25 cm thickand 15 cm long?
Two right circular solid cylinders have radii in the ratio 3 : 5 and heights in the ratio 2 : 3. Find the ratio between their volumes.
A 14 m deep well with inner diameter 10 m is dug and the earth taken out is evenly spread all around the well to form an embankment of width 5 m. Find the height of the embankment.
A cylindrical glass with diameter 20 cm has water to a height of 9 cm. A small cylindrical metal of radius 5 cm and height 4 cm is immersed it completely. Calculate the raise of the water in the glass?
Collect some old postcards. You can also use thick paper of size 14 cm x 9 cm.
Fold the postcard along the width to make pipe 1. Join the ends with cello tape.
Take another postcard and fold it along the length to make pipe 2. Join the ends with tape.
- Guess which pipe can take more sand inside it. Hold it on a plate and pour sand to check your guess. Was your guess correct? Discuss.
A cylindrical tube opened at both the ends is made of iron sheet which is 2 cm thick. If the outer diameter is 16 cm and its length is 100 cm, find how many cubic centimeters of iron has been used in making the tube?
A sphere and a right circular cylinder of the same radius have equal volumes. By what percentage does the diameter of the cylinder exceed its height?
If the height of a cylinder becomes `1/4` of the original height and the radius is doubled, then which of the following will be true?
