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 35 cm respectively. Find its volume.

35cm

16cm

cm³

Answer:_______________

Radius and slant height of a cone are 17 cm and 28 cm respectively. Find its volume.

28cm

17cm

cm³

Answer:_______________

Radius and slant height of a cone are 20 cm and 24 cm respectively. Find its volume.

24cm

20cm

cm³

Answer:_______________

Radius and slant height of a cone are 13 cm and 27 cm respectively. Find its volume.

27cm

13cm

cm³

Answer:_______________

Radius and slant height of a cone are 18 cm and 30 cm respectively. Find its volume.

30cm

18cm

cm³

Answer:_______________

Radius and slant height of a cone are 15 cm and 34 cm respectively. Find its volume.

34cm

15cm

cm³

Answer:_______________

Radius and slant height of a cone are 15 cm and 29 cm respectively. Find its volume.

29cm

15cm

cm³

Answer:_______________

Radius and slant height of a cone are 16 cm and 22 cm respectively. Find its volume.

22cm

16cm

cm³

Answer:_______________

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

33cm

16cm

cm³

Answer:_______________

10)

Radius and slant height of a cone are 17 cm and 34 cm respectively. Find its volume.

34cm

17cm

cm³

Answer:_______________

Radius and slant height of a cone are 16 cm and 35 cm respectively. Find its volume.

35cm

16cm

Answer: 8348.77 cm³

SOLUTION 1 :

Given:

Rarius (r) = 16 cm

slant height ( l ) = 35 cm

Height (h) = √ l²-r² = √ 35²- 16²

= √ 1225-256 = √ 969

height (h) = 31.13 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 16 x 16 x 31.13

Volume of the cone = 8348.77cm³

Radius and slant height of a cone are 17 cm and 28 cm respectively. Find its volume.

28cm

17cm

Answer: 6736.45 cm³

SOLUTION 1 :

Given:

Rarius (r) = 17 cm

slant height ( l ) = 28 cm

Height (h) = √ l²-r² = √ 28²- 17²

= √ 784-289 = √ 495

height (h) = 22.25 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 17 x 17 x 22.25

Volume of the cone = 6736.45cm³

Radius and slant height of a cone are 20 cm and 24 cm respectively. Find its volume.

24cm

20cm

Answer: 5560.76 cm³

SOLUTION 1 :

Given:

Rarius (r) = 20 cm

slant height ( l ) = 24 cm

Height (h) = √ l²-r² = √ 24²- 20²

= √ 576-400 = √ 176

height (h) = 13.27 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 20 x 20 x 13.27

Volume of the cone = 5560.76cm³

Radius and slant height of a cone are 13 cm and 27 cm respectively. Find its volume.

27cm

13cm

Answer: 4188.95 cm³

SOLUTION 1 :

Given:

Rarius (r) = 13 cm

slant height ( l ) = 27 cm

Height (h) = √ l²-r² = √ 27²- 13²

= √ 729-169 = √ 560

height (h) = 23.66 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 13 x 13 x 23.66

Volume of the cone = 4188.95cm³

Radius and slant height of a cone are 18 cm and 30 cm respectively. Find its volume.

30cm

18cm

Answer: 8146.29 cm³

SOLUTION 1 :

Given:

Rarius (r) = 18 cm

slant height ( l ) = 30 cm

Height (h) = √ l²-r² = √ 30²- 18²

= √ 900-324 = √ 576

height (h) = 24.00 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 18 x 18 x 24.00

Volume of the cone = 8146.29cm³

Radius and slant height of a cone are 15 cm and 34 cm respectively. Find its volume.

34cm

15cm

Answer: 7191.64 cm³

SOLUTION 1 :

Given:

Rarius (r) = 15 cm

slant height ( l ) = 34 cm

Height (h) = √ l²-r² = √ 34²- 15²

= √ 1156-225 = √ 931

height (h) = 30.51 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 15 x 15 x 30.51

Volume of the cone = 7191.64cm³

Radius and slant height of a cone are 15 cm and 29 cm respectively. Find its volume.

29cm

15cm

Answer: 5850.43 cm³

SOLUTION 1 :

Given:

Rarius (r) = 15 cm

slant height ( l ) = 29 cm

Height (h) = √ l²-r² = √ 29²- 15²

= √ 841-225 = √ 616

height (h) = 24.82 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 15 x 15 x 24.82

Volume of the cone = 5850.43cm³

Radius and slant height of a cone are 16 cm and 22 cm respectively. Find its volume.

22cm

16cm

Answer: 4049.68 cm³

SOLUTION 1 :

Given:

Rarius (r) = 16 cm

slant height ( l ) = 22 cm

Height (h) = √ l²-r² = √ 22²- 16²

= √ 484-256 = √ 228

height (h) = 15.10 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 16 x 16 x 15.10

Volume of the cone = 4049.68cm³

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

10)

Radius and slant height of a cone are 17 cm and 34 cm respectively. Find its volume.

34cm

17cm

Answer: 8913.31 cm³

SOLUTION 1 :

Given:

Rarius (r) = 17 cm

slant height ( l ) = 34 cm

Height (h) = √ l²-r² = √ 34²- 17²

= √ 1156-289 = √ 867

height (h) = 29.44 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 17 x 17 x 29.44

Volume of the cone = 8913.31cm³