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.
1) Radius and slant height of a cone are 17 cm and 26 cm respectively. Find its volume. 26cm 17cm cm3 Answer:_______________ |
2) Radius and slant height of a cone are 20 cm and 29 cm respectively. Find its volume. 29cm 20cm cm3 Answer:_______________ |
3) Radius and slant height of a cone are 13 cm and 22 cm respectively. Find its volume. 22cm 13cm cm3 Answer:_______________ |
4) Radius and slant height of a cone are 20 cm and 25 cm respectively. Find its volume. 25cm 20cm cm3 Answer:_______________ |
5) Radius and slant height of a cone are 12 cm and 26 cm respectively. Find its volume. 26cm 12cm cm3 Answer:_______________ |
6) Radius and slant height of a cone are 14 cm and 28 cm respectively. Find its volume. 28cm 14cm cm3 Answer:_______________ |
7) Radius and slant height of a cone are 21 cm and 34 cm respectively. Find its volume. 34cm 21cm cm3 Answer:_______________ |
8) Radius and slant height of a cone are 19 cm and 26 cm respectively. Find its volume. 26cm 19cm cm3 Answer:_______________ |
9) Radius and slant height of a cone are 22 cm and 35 cm respectively. Find its volume. 35cm 22cm cm3 Answer:_______________ |
10) Radius and slant height of a cone are 11 cm and 30 cm respectively. Find its volume. 30cm 11cm cm3 Answer:_______________ |
1) Radius and slant height of a cone are 17 cm and 26 cm respectively. Find its volume. 26cm 17cm Answer: 5955.33 cm3 SOLUTION 1 : Given: Rarius (r) = 17 cm slant height ( l ) = 26 cm Height (h) = √ l2-r2 = √ 262- 172 = √ 676-289 = √ 387 height (h) = 19.67 cm Volume of the cone = π r2h cubic unis. x x 17 x 17 x 19.67 Volume of the cone = 5955.33cm3
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2) Radius and slant height of a cone are 20 cm and 29 cm respectively. Find its volume. 29cm 20cm Answer: 8800.00 cm3 SOLUTION 1 : Given: Rarius (r) = 20 cm slant height ( l ) = 29 cm Height (h) = √ l2-r2 = √ 292- 202 = √ 841-400 = √ 441 height (h) = 21.00 cm Volume of the cone = π r2h cubic unis. x x 20 x 20 x 21.00 Volume of the cone = 8800.00cm3
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3) Radius and slant height of a cone are 13 cm and 22 cm respectively. Find its volume. 22cm 13cm Answer: 3142.60 cm3 SOLUTION 1 : Given: Rarius (r) = 13 cm slant height ( l ) = 22 cm Height (h) = √ l2-r2 = √ 222- 132 = √ 484-169 = √ 315 height (h) = 17.75 cm Volume of the cone = π r2h cubic unis. x x 13 x 13 x 17.75 Volume of the cone = 3142.60cm3
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4) Radius and slant height of a cone are 20 cm and 25 cm respectively. Find its volume. 25cm 20cm Answer: 6285.71 cm3 SOLUTION 1 : Given: Rarius (r) = 20 cm slant height ( l ) = 25 cm Height (h) = √ l2-r2 = √ 252- 202 = √ 625-400 = √ 225 height (h) = 15.00 cm Volume of the cone = π r2h cubic unis. x x 20 x 20 x 15.00 Volume of the cone = 6285.71cm3
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5) Radius and slant height of a cone are 12 cm and 26 cm respectively. Find its volume. 26cm 12cm Answer: 3480.27 cm3 SOLUTION 1 : Given: Rarius (r) = 12 cm slant height ( l ) = 26 cm Height (h) = √ l2-r2 = √ 262- 122 = √ 676-144 = √ 532 height (h) = 23.07 cm Volume of the cone = π r2h cubic unis. x x 12 x 12 x 23.07 Volume of the cone = 3480.27cm3
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6) 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 = π r2h cubic unis. x x 14 x 14 x 24.25 Volume of the cone = 4979.33cm3
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7) Radius and slant height of a cone are 21 cm and 34 cm respectively. Find its volume. 34cm 21cm Answer: 12353.88 cm3 SOLUTION 1 : Given: Rarius (r) = 21 cm slant height ( l ) = 34 cm Height (h) = √ l2-r2 = √ 342- 212 = √ 1156-441 = √ 715 height (h) = 26.74 cm Volume of the cone = π r2h cubic unis. x x 21 x 21 x 26.74 Volume of the cone = 12353.88cm3
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8) Radius and slant height of a cone are 19 cm and 26 cm respectively. Find its volume. 26cm 19cm Answer: 6712.88 cm3 SOLUTION 1 : Given: Rarius (r) = 19 cm slant height ( l ) = 26 cm Height (h) = √ l2-r2 = √ 262- 192 = √ 676-361 = √ 315 height (h) = 17.75 cm Volume of the cone = π r2h cubic unis. x x 19 x 19 x 17.75 Volume of the cone = 6712.88cm3
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9) Radius and slant height of a cone are 22 cm and 35 cm respectively. Find its volume. 35cm 22cm Answer: 13801.84 cm3 SOLUTION 1 : Given: Rarius (r) = 22 cm slant height ( l ) = 35 cm Height (h) = √ l2-r2 = √ 352- 222 = √ 1225-484 = √ 741 height (h) = 27.22 cm Volume of the cone = π r2h cubic unis. x x 22 x 22 x 27.22 Volume of the cone = 13801.84cm3
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10) Radius and slant height of a cone are 11 cm and 30 cm respectively. Find its volume. 30cm 11cm Answer: 3537.92 cm3 SOLUTION 1 : Given: Rarius (r) = 11 cm slant height ( l ) = 30 cm Height (h) = √ l2-r2 = √ 302- 112 = √ 900-121 = √ 779 height (h) = 27.91 cm Volume of the cone = π r2h cubic unis. x x 11 x 11 x 27.91 Volume of the cone = 3537.92cm3
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