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 11 cm and 34 cm respectively. Find its volume. 34cm 11cm cm3 Answer:_______________ |
2) Radius and slant height of a cone are 19 cm and 30 cm respectively. Find its volume. 30cm 19cm cm3 Answer:_______________ |
3) Radius and slant height of a cone are 19 cm and 26 cm respectively. Find its volume. 26cm 19cm cm3 Answer:_______________ |
4) Radius and slant height of a cone are 19 cm and 28 cm respectively. Find its volume. 28cm 19cm cm3 Answer:_______________ |
5) Radius and slant height of a cone are 12 cm and 34 cm respectively. Find its volume. 34cm 12cm cm3 Answer:_______________ |
6) Radius and slant height of a cone are 12 cm and 30 cm respectively. Find its volume. 30cm 12cm cm3 Answer:_______________ |
7) Radius and slant height of a cone are 18 cm and 30 cm respectively. Find its volume. 30cm 18cm cm3 Answer:_______________ |
8) Radius and slant height of a cone are 11 cm and 35 cm respectively. Find its volume. 35cm 11cm cm3 Answer:_______________ |
9) Radius and slant height of a cone are 22 cm and 27 cm respectively. Find its volume. 27cm 22cm cm3 Answer:_______________ |
10) Radius and slant height of a cone are 12 cm and 33 cm respectively. Find its volume. 33cm 12cm cm3 Answer:_______________ |
1) Radius and slant height of a cone are 11 cm and 34 cm respectively. Find its volume. 34cm 11cm Answer: 4077.93 cm3 SOLUTION 1 : Given: Rarius (r) = 11 cm slant height ( l ) = 34 cm Height (h) = √ l2-r2 = √ 342- 112 = √ 1156-121 = √ 1035 height (h) = 32.17 cm Volume of the cone = π r2h cubic unis. x x 11 x 11 x 32.17 Volume of the cone = 4077.93cm3
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2) Radius and slant height of a cone are 19 cm and 30 cm respectively. Find its volume. 30cm 19cm Answer: 8781.58 cm3 SOLUTION 1 : Given: Rarius (r) = 19 cm slant height ( l ) = 30 cm Height (h) = √ l2-r2 = √ 302- 192 = √ 900-361 = √ 539 height (h) = 23.22 cm Volume of the cone = π r2h cubic unis. x x 19 x 19 x 23.22 Volume of the cone = 8781.58cm3
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3) 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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4) Radius and slant height of a cone are 19 cm and 28 cm respectively. Find its volume. 28cm 19cm Answer: 7779.38 cm3 SOLUTION 1 : Given: Rarius (r) = 19 cm slant height ( l ) = 28 cm Height (h) = √ l2-r2 = √ 282- 192 = √ 784-361 = √ 423 height (h) = 20.57 cm Volume of the cone = π r2h cubic unis. x x 19 x 19 x 20.57 Volume of the cone = 7779.38cm3
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5) Radius and slant height of a cone are 12 cm and 34 cm respectively. Find its volume. 34cm 12cm Answer: 4798.77 cm3 SOLUTION 1 : Given: Rarius (r) = 12 cm slant height ( l ) = 34 cm Height (h) = √ l2-r2 = √ 342- 122 = √ 1156-144 = √ 1012 height (h) = 31.81 cm Volume of the cone = π r2h cubic unis. x x 12 x 12 x 31.81 Volume of the cone = 4798.77cm3
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6) Radius and slant height of a cone are 12 cm and 30 cm respectively. Find its volume. 30cm 12cm Answer: 4148.57 cm3 SOLUTION 1 : Given: Rarius (r) = 12 cm slant height ( l ) = 30 cm Height (h) = √ l2-r2 = √ 302- 122 = √ 900-144 = √ 756 height (h) = 27.50 cm Volume of the cone = π r2h cubic unis. x x 12 x 12 x 27.50 Volume of the cone = 4148.57cm3
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7) 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 = π r2h cubic unis. x x 18 x 18 x 24.00 Volume of the cone = 8146.29cm3
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8) Radius and slant height of a cone are 11 cm and 35 cm respectively. Find its volume. 35cm 11cm Answer: 4212.30 cm3 SOLUTION 1 : Given: Rarius (r) = 11 cm slant height ( l ) = 35 cm Height (h) = √ l2-r2 = √ 352- 112 = √ 1225-121 = √ 1104 height (h) = 33.23 cm Volume of the cone = π r2h cubic unis. x x 11 x 11 x 33.23 Volume of the cone = 4212.30cm3
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9) Radius and slant height of a cone are 22 cm and 27 cm respectively. Find its volume. 27cm 22cm Answer: 7935.30 cm3 SOLUTION 1 : Given: Rarius (r) = 22 cm slant height ( l ) = 27 cm Height (h) = √ l2-r2 = √ 272- 222 = √ 729-484 = √ 245 height (h) = 15.65 cm Volume of the cone = π r2h cubic unis. x x 22 x 22 x 15.65 Volume of the cone = 7935.30cm3
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10) Radius and slant height of a cone are 12 cm and 33 cm respectively. Find its volume. 33cm 12cm Answer: 4637.35 cm3 SOLUTION 1 : Given: Rarius (r) = 12 cm slant height ( l ) = 33 cm Height (h) = √ l2-r2 = √ 332- 122 = √ 1089-144 = √ 945 height (h) = 30.74 cm Volume of the cone = π r2h cubic unis. x x 12 x 12 x 30.74 Volume of the cone = 4637.35cm3
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