Volume of a Combination of Solids

Volume of a hollow sphere is$\frac{11352}{7}{\text{cm}}^3$ . If the outer radius is $8\text{ cm}$, find the inner radius of the sphere. (Take$\frac{22}{7}$ ​)

 Find the volume of a sphere whose circumference is $144$ units?

A silo has a cylindrical part and a roof that is a hemisphere. The radius of the cylinder is $3 \mathrm{m}$ and its height is $12 \mathrm{m}$. Find the volume of the silo up to three significant figures.       [Enter the value excluding units]

Calculate the volume of a hemisphere with radius $3.1 \mathrm{cm}$ .        [Enter the value excluding units and up to three significant figures]

A cistern, internally measuring 150 cm $\times$ 120 cm $\times$ 110 cm, has 129600 $c{m}^3$ of water in it. Porous bricks are placed in water until the cistern is full to the brim. Each brick absorbs one-seventeenth or its own volume of water. Flow many bricks can be put in without overflowing the water, each brick being 22.5 cm $\times$ 7.5 cm $\times$ 6.5 cm?

A cylindrical bucket 32 cm high and with base radius of 18 cm is filled with sand. The bucket is emptied on the ground and a conical heap of sand is formed. If the height of the conical heap is 24 cm. Find the slant height of the heap.

A 20m deep well with diameter 7m is dug and the earth from digging is evenly spread out to form a circular platform of radius $\sqrt{5} m$ . Find the height of the platform.

A metallic sphere of radius 5cm is melt and recast into the shape of a solid cylinder of radius 1.67 cm. Find the height of the cylinder.

A solid iron pole consists of a cylinder of height 220 cm and base diameter 24 cm which is surmounted by another cylinder of height 60 cm and radius 8cm. Find the mass(in g) of the pole given that specific gravity of iron is 9.

A gulabjamun is made of 30% sugar syrup by volume. Find approximately how much syrup would be found in 45 gulabjamun, each shaped like a cylinder with two hemispherical ends with length 5 cm and diameter 2.8 cm

2 Cubes each of volume 64 $c{m}^3$ are joined. Find the surface area of resolving cuboid.

The number of cubes of sides 3 cm which can be cut from the cuboid which measures $18 cm\times 12 cm\times 9 cm$

What is the volume of the cube whose one side is 3 cm ?

Find the height of a cuboid whose base area is $180\mathrm{ }\mathrm{c}{\mathrm{m}}^3$ and volume is $900\mathrm{ }\mathrm{c}{\mathrm{m}}^3$ ?

A solid iron rectangular block of dimensions 4.4 m, 2.6 m and 1 m then Find Volume of iron

The length, breadth and height of a rectangular solid are in ratio 6 : 5 : 4. If the total surface area is 5328 cm², find the length, breadth and height of the solid.

From a 25 cm $\times$ 35 cm rectangular cardboard, an open box is to be made by cutting out identical squares of area 25 cm² from each corner and turning up the sides. The volume of the box is :

An aquarium has a rectangular base that measure $100 \mathrm{cm}$ by $40 \mathrm{cm}$ and has height of $50 \mathrm{cm}$. It is filled with water to a height of $40 \mathrm{cm}$. A brick with a rectangular base measure $40 \mathrm{cm}$ by $20 \mathrm{cm}$ and a height of $10 \mathrm{cm}$ is placed in the aquarium. The water level (in $\mathrm{cm}$) rises by

A village having a population of 4000, requires 150 litres of water per head per day. It has a tank measuring 20 m by 15 m by 6 m. For how many days the water of this tank will last :

Diameter of a cylindrical vessel is 60cm. It is filled with water such that a sphere of diameter 30 cm is immersed fully into it. Then what is the increase in height of the surface after putting the sphere in the vessels.