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Answers
Answer:
171.68 cm²
Step-by-step explanation:
Given, height of cone = 4 cm.
Given, diameter of base = 8 cm.
Then, radius = 8/2 = 4 cm.
(i)
Volume of the toy = volume of hemisphere + volume of cone
= (2/3 * π * 4³ + 1/3 * π * 4² * 4)
= 201.14 cm³.
(ii)
Volume of the cube = 8³
= 512
Difference in volume = 512 - 201.14
= 310.86 cm³.
Therefore, Difference of the volume of cube and the toy = 310.86 cm³
(iii)
We know that slant height(l) = √r² + h²
= √4² + 4²
= √32
= 4√2 cm.
Total surface area of the toy = πrl + 2πr²
⇒ πr(l + 2r)
⇒ (22/7) * 4(4√2 + 2*4) cm²
⇒ (22/7) * 4 * 4(√2 + 2) cm²
⇒ 352(2 + √2)/7 cm²
⇒ 171.68 cm².
Therefore, Total surface area of the toy = 171.68 cm²,
Hope it helps!
Answer:
171.68
Step-by-step explanation:
Given, height of cone = 4 cm.
Given, diameter of base = 8 cm.
Then, radius = 8/2 = 4 cm.
Volume of the toy = volume of hemisphere + volume of cone
(2/3 * π * 4³ + 1/3 * π * 4² * 4)
201.14 cm³.
Volume of the cube = 8³
512
Difference in volume = 512 - 201.14
= 310.86 cm³.
Therefore, Difference of the volume of cube and the toy = 310.86 cm³
We know that slant height(l) = √r² + h²
√4² + 4²
√32
4√2 cm.
Total surface area of the toy = πrl + 2πr²
πr(l + 2r)
(22/7) * 4(4√2 + 2*4) cm²
(22/7) * 4 * 4(√2 + 2) cm²
352(2 + √2)/7 cm²
171.68 cm².
Therefore, Total surface area of the toy = 171.68 cm²,