Sasi Math (Revised for 1024)

Scroll:Mensuration >> volume of cone >> ps (4131)

Written Instructions:

For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..

For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.

Leave your answers in the simplest form or correct to two decimal places.

Radius and slant height of a cone are 16 cm and 33 cm respectively. Find its volume.

33cm

16cm

cm³

Answer:_______________

Radius and slant height of a cone are 19 cm and 29 cm respectively. Find its volume.

29cm

19cm

cm³

Answer:_______________

Radius and slant height of a cone are 18 cm and 33 cm respectively. Find its volume.

33cm

18cm

cm³

Answer:_______________

Radius and slant height of a cone are 11 cm and 31 cm respectively. Find its volume.

31cm

11cm

cm³

Answer:_______________

Radius and slant height of a cone are 18 cm and 29 cm respectively. Find its volume.

29cm

18cm

cm³

Answer:_______________

Radius and slant height of a cone are 21 cm and 35 cm respectively. Find its volume.

35cm

21cm

cm³

Answer:_______________

Radius and slant height of a cone are 14 cm and 28 cm respectively. Find its volume.

28cm

14cm

cm³

Answer:_______________

Radius and slant height of a cone are 21 cm and 28 cm respectively. Find its volume.

28cm

21cm

cm³

Answer:_______________

Radius and slant height of a cone are 12 cm and 28 cm respectively. Find its volume.

28cm

12cm

cm³

Answer:_______________

10)

Radius and slant height of a cone are 18 cm and 32 cm respectively. Find its volume.

32cm

18cm

cm³

Answer:_______________

Radius and slant height of a cone are 16 cm and 33 cm respectively. Find its volume.

33cm

16cm

Answer: 7739.98 cm³

SOLUTION 1 :

Given:

Rarius (r) = 16 cm

slant height ( l ) = 33 cm

Height (h) = √ l²-r² = √ 33²- 16²

= √ 1089-256 = √ 833

height (h) = 28.86 cm

Volume of the cone = $\frac{1}{3}$ π r²h cubic unis.

$\frac{1}{3}$ x $\frac{22}{7}$ x 16 x 16 x 28.86

Volume of the cone = 7739.98cm³

Radius and slant height of a cone are 19 cm and 29 cm respectively. Find its volume.

29cm

19cm

Answer: 8286.15 cm³

SOLUTION 1 :

Given:

Rarius (r) = 19 cm

slant height ( l ) = 29 cm

Height (h) = √ l²-r² = √ 29²- 19²

= √ 841-361 = √ 480

height (h) = 21.91 cm

Volume of the cone = $\frac{1}{3}$ π r²h cubic unis.

$\frac{1}{3}$ x $\frac{22}{7}$ x 19 x 19 x 21.91

Volume of the cone = 8286.15cm³

Radius and slant height of a cone are 18 cm and 33 cm respectively. Find its volume.

33cm

18cm

Answer: 9388.59 cm³

SOLUTION 1 :

Given:

Rarius (r) = 18 cm

slant height ( l ) = 33 cm

Height (h) = √ l²-r² = √ 33²- 18²

= √ 1089-324 = √ 765

height (h) = 27.66 cm

Volume of the cone = $\frac{1}{3}$ π r²h cubic unis.

$\frac{1}{3}$ x $\frac{22}{7}$ x 18 x 18 x 27.66

Volume of the cone = 9388.59cm³

Radius and slant height of a cone are 11 cm and 31 cm respectively. Find its volume.

31cm

11cm

Answer: 3673.56 cm³

SOLUTION 1 :

Given:

Rarius (r) = 11 cm

slant height ( l ) = 31 cm

Height (h) = √ l²-r² = √ 31²- 11²

= √ 961-121 = √ 840

height (h) = 28.98 cm

Volume of the cone = $\frac{1}{3}$ π r²h cubic unis.

$\frac{1}{3}$ x $\frac{22}{7}$ x 11 x 11 x 28.98

Volume of the cone = 3673.56cm³

Radius and slant height of a cone are 18 cm and 29 cm respectively. Find its volume.

29cm

18cm

Answer: 7718.61 cm³

SOLUTION 1 :

Given:

Rarius (r) = 18 cm

slant height ( l ) = 29 cm

Height (h) = √ l²-r² = √ 29²- 18²

= √ 841-324 = √ 517

height (h) = 22.74 cm

Volume of the cone = $\frac{1}{3}$ π r²h cubic unis.

$\frac{1}{3}$ x $\frac{22}{7}$ x 18 x 18 x 22.74

Volume of the cone = 7718.61cm³

Radius and slant height of a cone are 21 cm and 35 cm respectively. Find its volume.

35cm

21cm

Answer: 12936.00 cm³

SOLUTION 1 :

Given:

Rarius (r) = 21 cm

slant height ( l ) = 35 cm

Height (h) = √ l²-r² = √ 35²- 21²

= √ 1225-441 = √ 784

height (h) = 28.00 cm

Volume of the cone = $\frac{1}{3}$ π r²h cubic unis.

$\frac{1}{3}$ x $\frac{22}{7}$ x 21 x 21 x 28.00

Volume of the cone = 12936.00cm³

Radius and slant height of a cone are 14 cm and 28 cm respectively. Find its volume.

28cm

14cm

Answer: 4979.33 cm³

SOLUTION 1 :

Given:

Rarius (r) = 14 cm

slant height ( l ) = 28 cm

Height (h) = √ l²-r² = √ 28²- 14²

= √ 784-196 = √ 588

height (h) = 24.25 cm

Volume of the cone = $\frac{1}{3}$ π r²h cubic unis.

$\frac{1}{3}$ x $\frac{22}{7}$ x 14 x 14 x 24.25

Volume of the cone = 4979.33cm³

Radius and slant height of a cone are 21 cm and 28 cm respectively. Find its volume.

28cm

21cm

Answer: 8556.24 cm³

SOLUTION 1 :

Given:

Rarius (r) = 21 cm

slant height ( l ) = 28 cm

Height (h) = √ l²-r² = √ 28²- 21²

= √ 784-441 = √ 343

height (h) = 18.52 cm

Volume of the cone = $\frac{1}{3}$ π r²h cubic unis.

$\frac{1}{3}$ x $\frac{22}{7}$ x 21 x 21 x 18.52

Volume of the cone = 8556.24cm³

Radius and slant height of a cone are 12 cm and 28 cm respectively. Find its volume.

28cm

12cm

Answer: 3816.69 cm³

SOLUTION 1 :

Given:

Rarius (r) = 12 cm

slant height ( l ) = 28 cm

Height (h) = √ l²-r² = √ 28²- 12²

= √ 784-144 = √ 640

height (h) = 25.30 cm

Volume of the cone = $\frac{1}{3}$ π r²h cubic unis.

$\frac{1}{3}$ x $\frac{22}{7}$ x 12 x 12 x 25.30

Volume of the cone = 3816.69cm³

10)

Radius and slant height of a cone are 18 cm and 32 cm respectively. Find its volume.

32cm

18cm

Answer: 8981.28 cm³

SOLUTION 1 :

Given:

Rarius (r) = 18 cm

slant height ( l ) = 32 cm

Height (h) = √ l²-r² = √ 32²- 18²

= √ 1024-324 = √ 700

height (h) = 26.46 cm

Volume of the cone = $\frac{1}{3}$ π r²h cubic unis.

$\frac{1}{3}$ x $\frac{22}{7}$ x 18 x 18 x 26.46

Volume of the cone = 8981.28cm³