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Syeda
answered
1 year(s)
, 8 month(s) ago

Find the length of the longest rod that can be placed in a room

Answer.

Given length l = 12 m

breadth b = 9 m and height h = 8 m

Longest rod that can be placed in a room is nothing but its diagonal.

Length of diagonal of a cuboid = √...

- 3 Answers
- 1 Like
- 55208 Views

Syeda
answered
1 year(s)
, 8 month(s) ago

A cone ,hemisphere and a cylinder stand on equal base

Answer.

Volume of cone = (1/3)πr
^{2}h

Volume of hemisphere = (2/3)πr
^{3}

Volume of cylinder = πr
^{2}h

Given that cone, hemisphere and cylinde...

- 2 Answers
- 4 Likes
- 50932 Views

Syeda
answered
1 year(s)
, 8 month(s) ago

A semi circular sheet of metal of diameter 28 cm

Answer.

Given diameter = 28 cm

Radius, r = 14 cm

Circumference of semi circle = πr

= (22/7) x 14 = 44 cm

This becomes circumference of base of cone

2 πR =...

- 2 Answers
- 5 Likes
- 47166 Views

Raghunath
answered
3 year(s)
, 11 month(s) ago

A sphere and a cube have the same surface area . show that the ratio of the volumes of the sphere to that of the cube is √6 : √π

Let *r* and *a* be the radius of the sphere and edge of the cube respectively.

Given, Surface area of sphere = Surface area of cube

4πr^{2} = 6a^{2}

(r/a

...- 1 Answer
- 4 Likes
- 41178 Views

Syeda
answered
1 year(s)
, 8 month(s) ago

The outer dimensions of a closed wooden box are 10 cm x 8 cm x 7 cm.

Answer.

Given outer length = 10 cm

Outer breadth = 8 cm

Outer height = 7 cm

Outer volume = length × breadth × height

= 10 × 8 × 7 = 560 cm^{3}

Thickness of wood

- 2 Answers
- 3 Likes
- 36362 Views

Raghunath
answered
3 year(s)
ago

Three cubes each of side 5 cm are joined to the end. find the surface area of the resultant cuboid.

Sol:

Given, each side of the cube is 5 cm.

When three cubes are joined end to end, then the resulting solid is a cuboid.

Length of the cuboid, *l *= 2 × each side of the cube = 2 × 5

- 2 Answers
- 2 Likes
- 33286 Views

daniel
answered
11 month(s)
, 1 day(s) ago

Write all the formulas in Surface areas and volumes.

Sol:

If l, b and h are length, breadth and height of a cuboid, then

• lateral surface area = 2h (l + b)

• total surface area of the cuboid = 2(lb + bh + lh)

...

- 2 Answers
- 2 Likes
- 25630 Views

Raghunath
answered
4 year(s)
, 9 month(s) ago

AB and CD are 2 parallel chords of a circle such that AB=10cm CD =24cm if 2 chords are on the opp side of the centre and the distance bw them is 17cm find the radius of

Sol :

Given AB and CD are two chords of a circles D and E are midpoints of AB ,CD respectively.

CD = DB = 12 cm and AE = EB = 5 cm

Distance between two chords = 17 cm

Di...

- 1 Answer
- 2 Likes
- 25224 Views

Ramesh
answered
3 year(s)
, 10 month(s) ago

The length of longest pole that can be put in a room of dimensions (10m x 10m x 5m) is _________.

Length of the longest pole that can be put in a room = Length of the diagonal inside the room

Length of the diagonal = √( l
^{2}
^{ } + b
^{2}...

- 1 Answer
- 6 Likes
- 25215 Views

Raghunath
answered
3 year(s)
, 11 month(s) ago

A sphere ,cylinder and a cone of same radius and same height find the ratio of their CSA

Since, the height of a sphere is the diameter, the cone and cylinder have height 2r.

Then

Curved surface area of Sphere= 4πr²

Curved surface area of cylinder = 2πr(2r) = 4πr²

...- 2 Answers
- 2 Likes
- 24539 Views

Agam
answered
1 year(s)
, 5 month(s) ago

A well with inside diameter of 10m is dug 14m deep

Given radius of the well = 5 m

Height of the well = 14 m

Width of the embankment = 5 m

Therefore radius of the embankment = 5 + 5 = 10 m

Let h be the height of the embankment...

- 3 Answers
- 1 Like
- 24106 Views

Aditya
answered
3 year(s)
, 11 month(s) ago

How many meters of cloth 5m wide will be required to make a conical tent,the radius of whose base is 7m and whose height is 24m?

Given, r = 7 m

h = 24 m

∴ slant height l = √(r^{2 }+ h^{2}) = √(49 + 576) = √625 = 25 m

CSA of the cone = πrll = 22/7 x 7 x 25 = 550 m^{2}

Area of the

...- 2 Answers
- 2 Likes
- 19725 Views

Agam
answered
1 year(s)
, 2 month(s) ago

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

Internal radius, r = 30 cm

Thickness, w = 5 cm

External radius, R = 30 + 5 = 35 cm

Here volume of cuboid = volume of hollow cylinder

440 × 260 ×100 = π(R 2 – r 2) h

⇒...

- 3 Answers
- 0 Like
- 19604 Views

Raghunath
answered
4 year(s)
, 1 month(s) ago

The surface areas of two spheres are in the ratio 1:4.find the ratio of their volumes.

Sol:

Given that surface areas of two spheres are in the ratio 1:4.

4πr² : 4πR² = 1 : 4

r : R = 1 : 2.

Now ratio of volumes of two spheres = (4/3)πr^{3} : (4/3)πR

Asked by L srinivasulu

Dec 21

- 1 Answer
- 1 Like
- 19434 Views

Kishore
answered
5 year(s)
, 3 month(s) ago

A cylinder of radius 12cm contains water to a depth of 20cm.

Given radius of the cylinder, r = 12 cm

It is also given that a spherical iron ball is dropped into the cylinder and the water level raised by 6.75 cm

Hence volume of water displaced = volume of...

- 1 Answer
- 2 Likes
- 15707 Views

Raghunath
answered
4 year(s)
, 2 month(s) ago

Find the outer and inner radii of the pipe.

Sol:

Let r and R be the inner and outer radius of the cylindrical metallic pipe respectively.

h be the height of the metallic pipe = 14 cm

Difference between the Curved surface a

- 1 Answer
- 1 Like
- 15698 Views

Kishore
answered
4 year(s)
, 10 month(s) ago

A right angled triangle ABC with sides 5cm, 12cm, 13cm is revolved

Given a right angle triangle with sides 5cm, 12 cm and 13 cm

Hence hypotenuse is 13 cm

Given that the triangle is revolved about 12 cm side

Therefore, radius r = 5 cm and height h = 12...

- 1 Answer
- 0 Like
- 15319 Views

Kishore
answered
5 year(s)
, 4 month(s) ago

The diagonal of cube is √12 cm . What is its edge?

Given length of diagonal of a cube = √12 cm

Recall that length of diagonal of a cube = √3 × Length of edge of the cube

⇒ √12 = √3 × Length of edge of the cube

∴ Length of edge of the cu...

- 1 Answer
- 3 Likes
- 14102 Views

Kishore
answered
5 year(s)
, 1 month(s) ago

if v is volume of cubiod of dimensions a,b,c

Given dimensions of cuboid are a, b and c.

Therefore, volume of cuboid, V = abc → (1)

Surface area of cuboid, S = 2(ab + bc + ca) → (2)

Now divide (2) with (1), we get

...

Asked by Aishwaryakirani

Jan 4

- 2 Answers
- 5 Likes
- 13610 Views

Kishore
answered
4 year(s)
, 10 month(s) ago

The radius and height of a right circular cone

Given r:h = 5:12

Let r = 5x and h = 12x

Volume of cone = 314 cm
^{3}

That is (1/3)πr
^{2}h = 314

(1/3) × (3.14) × (5x)
^{2} × 12x = 314

25x...

- 1 Answer
- 0 Like
- 13602 Views

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