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01 April 2024 07:20

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The volume of a cone is 308 cm3. If the height of the cone is 6 cm and the value = 22/7, the length of the radius of the base of the cone is ... a. 3.5 cm c. 14 cm b. 7 cm d. 28 cm

The volume of a cone is 308 cm3. If the height of the cone is 6 cm and the value = 22/7, the length of the radius of the base of the cone is ... a. 3.5 cm c. 14 cm b. 7 cm d. 28 cm

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02 April 2024 03:37

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<p>The best answer is &nbsp;b. 7 cm</p><p>&nbsp;</p><p>Solution :</p><p>V = 308 cm<sup>2</sup></p><p>t = 6 cm</p><p>𝞹 = 22/7</p><p>&nbsp;</p><p>V = 1/3 x 𝞹 x r<sup>2</sup> x t</p><p>308 = 1/3 x 22/7 x r<sup>2</sup> x 6</p><p>308 = 44/7 x r<sup>2</sup></p><p>r<sup>2</sup> = 308 : 44/7</p><p>&nbsp; &nbsp; &nbsp;= 308 x 7/ 44</p><p>&nbsp; &nbsp; &nbsp;= 49</p><p>r = √49</p><p>r = 7 cm</p><p>So, the length of the radius of the base of the cone is<strong> 7 cm</strong></p>

The best answer is  b. 7 cm

 

Solution :

V = 308 cm2

t = 6 cm

𝞹 = 22/7

 

V = 1/3 x 𝞹 x r2 x t

308 = 1/3 x 22/7 x r2 x 6

308 = 44/7 x r2

r2 = 308 : 44/7

     = 308 x 7/ 44

     = 49

r = √49

r = 7 cm

So, the length of the radius of the base of the cone is 7 cm


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