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 22 cm and 22 cm respectively. Find its volume.

22cm

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 13 cm and 32 cm respectively. Find its volume.

32cm

13cm

cm³

Answer:_______________

Radius and slant height of a cone are 14 cm and 26 cm respectively. Find its volume.

26cm

14cm

cm³

Answer:_______________

Radius and slant height of a cone are 11 cm and 29 cm respectively. Find its volume.

29cm

11cm

cm³

Answer:_______________

Radius and slant height of a cone are 22 cm and 33 cm respectively. Find its volume.

33cm

22cm

cm³

Answer:_______________

Radius and slant height of a cone are 19 cm and 23 cm respectively. Find its volume.

23cm

19cm

cm³

Answer:_______________

Radius and slant height of a cone are 19 cm and 25 cm respectively. Find its volume.

25cm

19cm

cm³

Answer:_______________

Radius and slant height of a cone are 15 cm and 22 cm respectively. Find its volume.

22cm

15cm

cm³

Answer:_______________

10)

Radius and slant height of a cone are 14 cm and 29 cm respectively. Find its volume.

29cm

14cm

cm³

Answer:_______________

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

22cm

Answer: 0.00 cm³

SOLUTION 1 :

Given:

Rarius (r) = 22 cm

slant height ( l ) = 22 cm

Height (h) = √ l²-r² = √ 22²- 22²

= √ 484-484 = √ 0

height (h) = 0.00 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 22 x 22 x 0.00

Volume of the cone = 0.00cm³

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 13 cm and 32 cm respectively. Find its volume.

32cm

13cm

Answer: 5176.87 cm³

SOLUTION 1 :

Given:

Rarius (r) = 13 cm

slant height ( l ) = 32 cm

Height (h) = √ l²-r² = √ 32²- 13²

= √ 1024-169 = √ 855

height (h) = 29.24 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 13 x 13 x 29.24

Volume of the cone = 5176.87cm³

Radius and slant height of a cone are 14 cm and 26 cm respectively. Find its volume.

26cm

14cm

Answer: 4498.85 cm³

SOLUTION 1 :

Given:

Rarius (r) = 14 cm

slant height ( l ) = 26 cm

Height (h) = √ l²-r² = √ 26²- 14²

= √ 676-196 = √ 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 14 x 14 x 21.91

Volume of the cone = 4498.85cm³

Radius and slant height of a cone are 11 cm and 29 cm respectively. Find its volume.

29cm

11cm

Answer: 3401.02 cm³

SOLUTION 1 :

Given:

Rarius (r) = 11 cm

slant height ( l ) = 29 cm

Height (h) = √ l²-r² = √ 29²- 11²

= √ 841-121 = √ 720

height (h) = 26.83 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 11 x 11 x 26.83

Volume of the cone = 3401.02cm³

Radius and slant height of a cone are 22 cm and 33 cm respectively. Find its volume.

33cm

22cm

Answer: 12473.37 cm³

SOLUTION 1 :

Given:

Rarius (r) = 22 cm

slant height ( l ) = 33 cm

Height (h) = √ l²-r² = √ 33²- 22²

= √ 1089-484 = √ 605

height (h) = 24.60 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 22 x 22 x 24.60

Volume of the cone = 12473.37cm³

Radius and slant height of a cone are 19 cm and 23 cm respectively. Find its volume.

23cm

19cm

Answer: 4901.35 cm³

SOLUTION 1 :

Given:

Rarius (r) = 19 cm

slant height ( l ) = 23 cm

Height (h) = √ l²-r² = √ 23²- 19²

= √ 529-361 = √ 168

height (h) = 12.96 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 19 x 19 x 12.96

Volume of the cone = 4901.35cm³

Radius and slant height of a cone are 19 cm and 25 cm respectively. Find its volume.

25cm

19cm

Answer: 6145.60 cm³

SOLUTION 1 :

Given:

Rarius (r) = 19 cm

slant height ( l ) = 25 cm

Height (h) = √ l²-r² = √ 25²- 19²

= √ 625-361 = √ 264

height (h) = 16.25 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 19 x 19 x 16.25

Volume of the cone = 6145.60cm³

Radius and slant height of a cone are 15 cm and 22 cm respectively. Find its volume.

22cm

15cm

Answer: 3792.64 cm³

SOLUTION 1 :

Given:

Rarius (r) = 15 cm

slant height ( l ) = 22 cm

Height (h) = √ l²-r² = √ 22²- 15²

= √ 484-225 = √ 259

height (h) = 16.09 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 15 x 15 x 16.09

Volume of the cone = 3792.64cm³

10)

Radius and slant height of a cone are 14 cm and 29 cm respectively. Find its volume.

29cm

14cm

Answer: 5215.47 cm³

SOLUTION 1 :

Given:

Rarius (r) = 14 cm

slant height ( l ) = 29 cm

Height (h) = √ l²-r² = √ 29²- 14²

= √ 841-196 = √ 645

height (h) = 25.40 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 14 x 14 x 25.40

Volume of the cone = 5215.47cm³