Directions: Calculate the volume of each solld figure. 15 m 4.cm 3 cm 2.3 cm 2 3...

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ravenmallari29 @ravenmallari29

October 2022 1 4 Report

Directions: Calculate the volume of each solld figure. 15 m 4.cm 3 cm 2.3 cm 2 35 cm 8cm 32 cm 27 cm 5 5 cm

Answers & Comments

caomeicherry

MATHEMATICS

DIRECTION :

Calculate the volume of each solld figure.

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1. SPHERE

GIVEN

r = 15m

USE THIS FORMULA

$V = \frac{4}{ 3 } \pi {r}^{3}$

SOLUTION

$V = \frac{4}{ 3 } \pi {r}^{3} \\ V = \frac{4}{ 3 }(3.14) {(15m)}^{ 3 } \\ V = \frac{4}{ 3 }(3.14)(3375 m^{3} ) \\ V = \frac{4}{3}(10,597.5) \\ V = 14130 {m}^{3}$

FINAL ANSWER

$V = 14130 \: {m}^{3}$

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2. Cylinder

GIVEN

r = 2.3 cm
h = 8 cm

USE THIS FORMULA

$V = \pi {r}^{2} h$

SOLUTION

$V = \pi {r}^{2} h \\ V = (3.14) {(2.3cm)}^{2} (8cm) \\ V = (3.14)(5.29 {cm}^{2} )(8cm) \\ V = (3.14)(42.32 {cm}^{3} ) \\ V = 132.88 {cm}^{3}$

FINAL ANSWER

$V = 132.88 \: {cm}^{3}$

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3. SPHERE

GIVEN

r = 5 cm

USE THIS FORMULA

$V = \frac{4}{ 3 } \pi {r}^{3}$

SOLUTION

$V = \frac{4}{ 3 } \pi {r}^{3} \\ V = \frac{4}{ 3 }(3.14) {(5cm)}^{3} \\ V = \frac{4}{ 3 }(3.14)(125 {cm}^{3} ) \\ V = \frac{4}{ 3 }(392.5 {cm}^{3} ) \\ V = 523.33 {cm}^{3}$

FINAL ANSWER

$V = 523.33 \: {cm}^{3}$

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4. CONE

GIVEN

r = 3cm
h = 4cm

USE THIS FORMULA

$V = \frac{1}{ 3 } πr^2h$

SOLUTION

$V = \frac{1}{ 3 } πr^2h \\ V = \frac{1}{ 3 }(3.14) {(3cm)}^{2} (4cm) \\ V = \frac{1}{ 3 }(3.14)(9 {cm}^{2} )(4cm) \\ V = \frac{1}{ 3 }(3.14)(36 {cm}^{3} ) \\ V = \frac{1}{ 3 }(113.04 {cm}^{3} ) \\ V = 37.68 {cm}^{3}$

FINAL ANSWER

$V = 37.68 \: {cm}^{3}$

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5. PYRAMID

GIVEN

b = 32cm and 27cm
h = 35cm

USE THIS FORMULA

$V = \frac{1}{3} bh$

SOLUTION

$V = \frac{1}{3} bh \\ V = \frac{1}{3}(32cm)(27cm)(35cm) \\ V = \frac{1}{3}(864 {cm}^{2} )(35cm) \\ V = \frac{1}{3}(30,240 \: {cm}^{3} ) \\ V = 10,080 \: {cm}^{3}$