Step-by-step explanation:
4.
⇒ [tex]V = \pi r^{2}h[/tex]
⇒ [tex]V = \pi(10)^{2}(40)[/tex]
⇒ [tex]V = 4000\pi[/tex]
⇒ [tex]V = 12566.4cm^{3}[/tex]
5.
⇒ [tex]V = \frac{1}{3}\pi r^{2}h[/tex]
⇒ [tex]V = \frac{1}{3}\pi (8)^{2}(h)[/tex]
As we know the radius and slant height, we can use Pythagoras' Theorem to find the perpendicular height.
⇒ [tex]a^{2} + b^{2} = c^{2}[/tex]
⇒ [tex](8)^{2} + h^{2} = 20^{2}[/tex]
⇒ [tex]h = \sqrt{20^{2} - 8^{2}}[/tex]
⇒ [tex]h = 4\sqrt{21}[/tex]
Now substitute this into the volume formula.
⇒ [tex]V = \frac{1}{3}\pi (8)^{2}(4\sqrt{21})[/tex]
⇒ [tex]V = \frac{256\sqrt{21} }{3}\pi[/tex]
⇒ [tex]V = 1228.5mm^{3}[/tex]
6.
⇒ [tex]V = l^{3}[/tex]
⇒ [tex]V = (3.1)^{3}[/tex]
⇒ [tex]V = 29.8inches^{3}[/tex]
7.
⇒ [tex]V = \frac{1}{3}lwh[/tex]
⇒ [tex]V = \frac{1}{3}(12)(4)(6)[/tex]
⇒ [tex]V = 96inches^{3}[/tex]
Answer : 4. 12571.429.
5. 4022.857
6. 29.791
7. 96
Step-by-step explanation:
4. FORMULA: PIE R SQUARE TIMES HEIGHT
5. FORMULA: the same as the previous formula
6. FORMULA: LENTH × WIDTH × HEIGHT
7. FORMULA: 1/3 × L × W × H
4. 22/7×10×10×40 = 12571.429
5. 22/7×8×8×20 = 4022.857
6. 3.1 × 3.1 × 3.1 = 29.791
7. 1/3 × 12 × 4 × 6 = 96
HOPE THIS HELPS U